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Finding the Fourth Proportional to 5,646.82, 7,793.50 and 3,224.19

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Solution

The fourth proportional to 5,646.82, 7,793.50 and 3,224.19 is: 4,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.82 : 7,793.50 = 3,224.19 : x
  2. Step 2: Convert to fraction form
    5,646.82/7,793.50 = 3,224.19/x
  3. Step 3: Cross multiply
    5,646.82x = 7,793.50 × 3,224.19
  4. Step 4: Simplify right side
    5,646.82x = 25,127,724.77
  5. Step 5: Solve for x
    x = 25,127,724.77/5,646.82
  6. Step 6: Final answer
    x = 4,449.89

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Half scale
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Double scale
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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.