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Finding the Fourth Proportional to 4,570.68, 6,856.03 and 1,648.99

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Solution

The fourth proportional to 4,570.68, 6,856.03 and 1,648.99 is: 2,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.68 : 6,856.03 = 1,648.99 : x
  2. Step 2: Convert to fraction form
    4,570.68/6,856.03 = 1,648.99/x
  3. Step 3: Cross multiply
    4,570.68x = 6,856.03 × 1,648.99
  4. Step 4: Simplify right side
    4,570.68x = 11,305,535.54
  5. Step 5: Solve for x
    x = 11,305,535.54/4,570.68
  6. Step 6: Final answer
    x = 2,473.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.