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Finding the Fourth Proportional to 6,497.14, 9,747.15 and 3,032.50

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Solution

The fourth proportional to 6,497.14, 9,747.15 and 3,032.50 is: 4,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.14 : 9,747.15 = 3,032.50 : x
  2. Step 2: Convert to fraction form
    6,497.14/9,747.15 = 3,032.50/x
  3. Step 3: Cross multiply
    6,497.14x = 9,747.15 × 3,032.50
  4. Step 4: Simplify right side
    6,497.14x = 29,558,232.38
  5. Step 5: Solve for x
    x = 29,558,232.38/6,497.14
  6. Step 6: Final answer
    x = 4,549.42

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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.