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Finding the Fourth Proportional to 37,540, 56,310 and 9,838

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Solution

The fourth proportional to 37,540, 56,310 and 9,838 is: 14,757

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,540 : 56,310 = 9,838 : x
  2. Step 2: Convert to fraction form
    37,540/56,310 = 9,838/x
  3. Step 3: Cross multiply
    37,540x = 56,310 × 9,838
  4. Step 4: Simplify right side
    37,540x = 553,977,780
  5. Step 5: Solve for x
    x = 553,977,780/37,540
  6. Step 6: Final answer
    x = 14,757

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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.