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Finding the Fourth Proportional to 25,034, 37,551 and 6,566

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Solution

The fourth proportional to 25,034, 37,551 and 6,566 is: 9,849

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,034 : 37,551 = 6,566 : x
  2. Step 2: Convert to fraction form
    25,034/37,551 = 6,566/x
  3. Step 3: Cross multiply
    25,034x = 37,551 × 6,566
  4. Step 4: Simplify right side
    25,034x = 246,559,866
  5. Step 5: Solve for x
    x = 246,559,866/25,034
  6. Step 6: Final answer
    x = 9,849

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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.