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Finding the Fourth Proportional to 24,506, 36,759 and 6,038

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Solution

The fourth proportional to 24,506, 36,759 and 6,038 is: 9,057

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506 : 36,759 = 6,038 : x
  2. Step 2: Convert to fraction form
    24,506/36,759 = 6,038/x
  3. Step 3: Cross multiply
    24,506x = 36,759 × 6,038
  4. Step 4: Simplify right side
    24,506x = 221,950,842
  5. Step 5: Solve for x
    x = 221,950,842/24,506
  6. Step 6: Final answer
    x = 9,057

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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.