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Finding the Fourth Proportional to 8,412.10, 12,599.91 and 6,098.50

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Solution

The fourth proportional to 8,412.10, 12,599.91 and 6,098.50 is: 9,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.10 : 12,599.91 = 6,098.50 : x
  2. Step 2: Convert to fraction form
    8,412.10/12,599.91 = 6,098.50/x
  3. Step 3: Cross multiply
    8,412.10x = 12,599.91 × 6,098.50
  4. Step 4: Simplify right side
    8,412.10x = 76,840,551.14
  5. Step 5: Solve for x
    x = 76,840,551.14/8,412.10
  6. Step 6: Final answer
    x = 9,134.53

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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.