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Finding the Fourth Proportional to 8,545.82, 11,775.74 and 6,304.16

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Solution

The fourth proportional to 8,545.82, 11,775.74 and 6,304.16 is: 8,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.82 : 11,775.74 = 6,304.16 : x
  2. Step 2: Convert to fraction form
    8,545.82/11,775.74 = 6,304.16/x
  3. Step 3: Cross multiply
    8,545.82x = 11,775.74 × 6,304.16
  4. Step 4: Simplify right side
    8,545.82x = 74,236,149.08
  5. Step 5: Solve for x
    x = 74,236,149.08/8,545.82
  6. Step 6: Final answer
    x = 8,686.84

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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.