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Finding the Fourth Proportional to 10,331, 15,498.93 and 3,405.50

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Solution

The fourth proportional to 10,331, 15,498.93 and 3,405.50 is: 5,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331 : 15,498.93 = 3,405.50 : x
  2. Step 2: Convert to fraction form
    10,331/15,498.93 = 3,405.50/x
  3. Step 3: Cross multiply
    10,331x = 15,498.93 × 3,405.50
  4. Step 4: Simplify right side
    10,331x = 52,781,606.12
  5. Step 5: Solve for x
    x = 52,781,606.12/10,331
  6. Step 6: Final answer
    x = 5,109.05

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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.