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Finding the Fourth Proportional to 25,092.71, 37,639.08 and 6,374.15

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Solution

The fourth proportional to 25,092.71, 37,639.08 and 6,374.15 is: 9,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.71 : 37,639.08 = 6,374.15 : x
  2. Step 2: Convert to fraction form
    25,092.71/37,639.08 = 6,374.15/x
  3. Step 3: Cross multiply
    25,092.71x = 37,639.08 × 6,374.15
  4. Step 4: Simplify right side
    25,092.71x = 239,916,953.59
  5. Step 5: Solve for x
    x = 239,916,953.59/25,092.71
  6. Step 6: Final answer
    x = 9,561.22

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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.