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Finding the Fourth Proportional to 6,646.92, 9,972.10 and 2,487.25

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Solution

The fourth proportional to 6,646.92, 9,972.10 and 2,487.25 is: 3,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.92 : 9,972.10 = 2,487.25 : x
  2. Step 2: Convert to fraction form
    6,646.92/9,972.10 = 2,487.25/x
  3. Step 3: Cross multiply
    6,646.92x = 9,972.10 × 2,487.25
  4. Step 4: Simplify right side
    6,646.92x = 24,803,055.86
  5. Step 5: Solve for x
    x = 24,803,055.86/6,646.92
  6. Step 6: Final answer
    x = 3,731.51

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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.