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Finding the Fourth Proportional to 4,674.92, 6,451.12 and 2,685.47

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Solution

The fourth proportional to 4,674.92, 6,451.12 and 2,685.47 is: 3,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.92 : 6,451.12 = 2,685.47 : x
  2. Step 2: Convert to fraction form
    4,674.92/6,451.12 = 2,685.47/x
  3. Step 3: Cross multiply
    4,674.92x = 6,451.12 × 2,685.47
  4. Step 4: Simplify right side
    4,674.92x = 17,324,289.23
  5. Step 5: Solve for x
    x = 17,324,289.23/4,674.92
  6. Step 6: Final answer
    x = 3,705.79

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Half scale
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Double scale
Find fourth proportional to 4,675.92, 6,452.50 and 2,686.47
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.