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Finding the Fourth Proportional to 12,498.14, 18,748.02 and 6,256.28

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Solution

The fourth proportional to 12,498.14, 18,748.02 and 6,256.28 is: 9,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.14 : 18,748.02 = 6,256.28 : x
  2. Step 2: Convert to fraction form
    12,498.14/18,748.02 = 6,256.28/x
  3. Step 3: Cross multiply
    12,498.14x = 18,748.02 × 6,256.28
  4. Step 4: Simplify right side
    12,498.14x = 117,292,862.57
  5. Step 5: Solve for x
    x = 117,292,862.57/12,498.14
  6. Step 6: Final answer
    x = 9,384.83

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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.