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Finding the Fourth Proportional to 12,568.75, 17,344.08 and 6,902.38

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Solution

The fourth proportional to 12,568.75, 17,344.08 and 6,902.38 is: 9,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.75 : 17,344.08 = 6,902.38 : x
  2. Step 2: Convert to fraction form
    12,568.75/17,344.08 = 6,902.38/x
  3. Step 3: Cross multiply
    12,568.75x = 17,344.08 × 6,902.38
  4. Step 4: Simplify right side
    12,568.75x = 119,715,430.91
  5. Step 5: Solve for x
    x = 119,715,430.91/12,568.75
  6. Step 6: Final answer
    x = 9,524.85

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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.