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Finding the Fourth Proportional to 8,306.61, 12,461.97 and 2,463.22

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Solution

The fourth proportional to 8,306.61, 12,461.97 and 2,463.22 is: 3,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.61 : 12,461.97 = 2,463.22 : x
  2. Step 2: Convert to fraction form
    8,306.61/12,461.97 = 2,463.22/x
  3. Step 3: Cross multiply
    8,306.61x = 12,461.97 × 2,463.22
  4. Step 4: Simplify right side
    8,306.61x = 30,696,607.42
  5. Step 5: Solve for x
    x = 30,696,607.42/8,306.61
  6. Step 6: Final answer
    x = 3,695.44

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1.5x scale

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.