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Finding the Fourth Proportional to 10,862.60, 16,306.05 and 8,408.30

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Solution

The fourth proportional to 10,862.60, 16,306.05 and 8,408.30 is: 12,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.60 : 16,306.05 = 8,408.30 : x
  2. Step 2: Convert to fraction form
    10,862.60/16,306.05 = 8,408.30/x
  3. Step 3: Cross multiply
    10,862.60x = 16,306.05 × 8,408.30
  4. Step 4: Simplify right side
    10,862.60x = 137,106,160.22
  5. Step 5: Solve for x
    x = 137,106,160.22/10,862.60
  6. Step 6: Final answer
    x = 12,621.85

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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.