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Finding the Fourth Proportional to 9,657.96, 14,472.90 and 7,181.16

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Solution

The fourth proportional to 9,657.96, 14,472.90 and 7,181.16 is: 10,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.96 : 14,472.90 = 7,181.16 : x
  2. Step 2: Convert to fraction form
    9,657.96/14,472.90 = 7,181.16/x
  3. Step 3: Cross multiply
    9,657.96x = 14,472.90 × 7,181.16
  4. Step 4: Simplify right side
    9,657.96x = 103,932,210.56
  5. Step 5: Solve for x
    x = 103,932,210.56/9,657.96
  6. Step 6: Final answer
    x = 10,761.30

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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.