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Finding the Fourth Proportional to 10,371.50, 15,557.25 and 3,446

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Solution

The fourth proportional to 10,371.50, 15,557.25 and 3,446 is: 5,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.50 : 15,557.25 = 3,446 : x
  2. Step 2: Convert to fraction form
    10,371.50/15,557.25 = 3,446/x
  3. Step 3: Cross multiply
    10,371.50x = 15,557.25 × 3,446
  4. Step 4: Simplify right side
    10,371.50x = 53,610,283.50
  5. Step 5: Solve for x
    x = 53,610,283.50/10,371.50
  6. Step 6: Final answer
    x = 5,169

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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.