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Finding the Fourth Proportional to 25,292, 37,937.82 and 6,572

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Solution

The fourth proportional to 25,292, 37,937.82 and 6,572 is: 9,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292 : 37,937.82 = 6,572 : x
  2. Step 2: Convert to fraction form
    25,292/37,937.82 = 6,572/x
  3. Step 3: Cross multiply
    25,292x = 37,937.82 × 6,572
  4. Step 4: Simplify right side
    25,292x = 249,327,353.04
  5. Step 5: Solve for x
    x = 249,327,353.04/25,292
  6. Step 6: Final answer
    x = 9,857.95

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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.