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Finding the Fourth Proportional to 10,470, 15,712.20 and 4,314

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Solution

The fourth proportional to 10,470, 15,712.20 and 4,314 is: 6,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470 : 15,712.20 = 4,314 : x
  2. Step 2: Convert to fraction form
    10,470/15,712.20 = 4,314/x
  3. Step 3: Cross multiply
    10,470x = 15,712.20 × 4,314
  4. Step 4: Simplify right side
    10,470x = 67,782,430.80
  5. Step 5: Solve for x
    x = 67,782,430.80/10,470
  6. Step 6: Final answer
    x = 6,473.97

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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.