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Finding the Fourth Proportional to 6,397.52, 9,592.50 and 2,497.38

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Solution

The fourth proportional to 6,397.52, 9,592.50 and 2,497.38 is: 3,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.52 : 9,592.50 = 2,497.38 : x
  2. Step 2: Convert to fraction form
    6,397.52/9,592.50 = 2,497.38/x
  3. Step 3: Cross multiply
    6,397.52x = 9,592.50 × 2,497.38
  4. Step 4: Simplify right side
    6,397.52x = 23,956,117.65
  5. Step 5: Solve for x
    x = 23,956,117.65/6,397.52
  6. Step 6: Final answer
    x = 3,744.59

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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.