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Finding the Fourth Proportional to 8,414.10, 12,602.91 and 6,100.50

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Solution

The fourth proportional to 8,414.10, 12,602.91 and 6,100.50 is: 9,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.10 : 12,602.91 = 6,100.50 : x
  2. Step 2: Convert to fraction form
    8,414.10/12,602.91 = 6,100.50/x
  3. Step 3: Cross multiply
    8,414.10x = 12,602.91 × 6,100.50
  4. Step 4: Simplify right side
    8,414.10x = 76,884,052.46
  5. Step 5: Solve for x
    x = 76,884,052.46/8,414.10
  6. Step 6: Final answer
    x = 9,137.53

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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.