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Finding the Fourth Proportional to 8,034.70, 12,037.65 and 7,113.10

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Solution

The fourth proportional to 8,034.70, 12,037.65 and 7,113.10 is: 10,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.70 : 12,037.65 = 7,113.10 : x
  2. Step 2: Convert to fraction form
    8,034.70/12,037.65 = 7,113.10/x
  3. Step 3: Cross multiply
    8,034.70x = 12,037.65 × 7,113.10
  4. Step 4: Simplify right side
    8,034.70x = 85,625,008.22
  5. Step 5: Solve for x
    x = 85,625,008.22/8,034.70
  6. Step 6: Final answer
    x = 10,656.90

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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.