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Finding the Fourth Proportional to 37,542, 56,313 and 9,840

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Solution

The fourth proportional to 37,542, 56,313 and 9,840 is: 14,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542 : 56,313 = 9,840 : x
  2. Step 2: Convert to fraction form
    37,542/56,313 = 9,840/x
  3. Step 3: Cross multiply
    37,542x = 56,313 × 9,840
  4. Step 4: Simplify right side
    37,542x = 554,119,920
  5. Step 5: Solve for x
    x = 554,119,920/37,542
  6. Step 6: Final answer
    x = 14,760

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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.