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Finding the Fourth Proportional to 10,498.61, 15,744.27 and 3,101.09

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Solution

The fourth proportional to 10,498.61, 15,744.27 and 3,101.09 is: 4,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.61 : 15,744.27 = 3,101.09 : x
  2. Step 2: Convert to fraction form
    10,498.61/15,744.27 = 3,101.09/x
  3. Step 3: Cross multiply
    10,498.61x = 15,744.27 × 3,101.09
  4. Step 4: Simplify right side
    10,498.61x = 48,824,331.16
  5. Step 5: Solve for x
    x = 48,824,331.16/10,498.61
  6. Step 6: Final answer
    x = 4,650.55

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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.