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Finding the Fourth Proportional to 9,691.40, 14,537.10 and 8,049.80

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Solution

The fourth proportional to 9,691.40, 14,537.10 and 8,049.80 is: 12,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.40 : 14,537.10 = 8,049.80 : x
  2. Step 2: Convert to fraction form
    9,691.40/14,537.10 = 8,049.80/x
  3. Step 3: Cross multiply
    9,691.40x = 14,537.10 × 8,049.80
  4. Step 4: Simplify right side
    9,691.40x = 117,020,747.58
  5. Step 5: Solve for x
    x = 117,020,747.58/9,691.40
  6. Step 6: Final answer
    x = 12,074.70

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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.