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Finding the Fourth Proportional to 9,124.96, 13,658.28 and 6,486

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Solution

The fourth proportional to 9,124.96, 13,658.28 and 6,486 is: 9,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.96 : 13,658.28 = 6,486 : x
  2. Step 2: Convert to fraction form
    9,124.96/13,658.28 = 6,486/x
  3. Step 3: Cross multiply
    9,124.96x = 13,658.28 × 6,486
  4. Step 4: Simplify right side
    9,124.96x = 88,587,604.08
  5. Step 5: Solve for x
    x = 88,587,604.08/9,124.96
  6. Step 6: Final answer
    x = 9,708.27

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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.