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Finding the Fourth Proportional to 7,232.68, 10,902.49 and 6,809.86

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Solution

The fourth proportional to 7,232.68, 10,902.49 and 6,809.86 is: 10,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.68 : 10,902.49 = 6,809.86 : x
  2. Step 2: Convert to fraction form
    7,232.68/10,902.49 = 6,809.86/x
  3. Step 3: Cross multiply
    7,232.68x = 10,902.49 × 6,809.86
  4. Step 4: Simplify right side
    7,232.68x = 74,244,430.55
  5. Step 5: Solve for x
    x = 74,244,430.55/7,232.68
  6. Step 6: Final answer
    x = 10,265.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.