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Finding the Fourth Proportional to 9,098.73, 12,545.42 and 6,108.21

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Solution

The fourth proportional to 9,098.73, 12,545.42 and 6,108.21 is: 8,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.73 : 12,545.42 = 6,108.21 : x
  2. Step 2: Convert to fraction form
    9,098.73/12,545.42 = 6,108.21/x
  3. Step 3: Cross multiply
    9,098.73x = 12,545.42 × 6,108.21
  4. Step 4: Simplify right side
    9,098.73x = 76,630,029.36
  5. Step 5: Solve for x
    x = 76,630,029.36/9,098.73
  6. Step 6: Final answer
    x = 8,422.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.