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Finding the Fourth Proportional to 8,037.75, 12,034.21 and 7,298.13

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Solution

The fourth proportional to 8,037.75, 12,034.21 and 7,298.13 is: 10,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.75 : 12,034.21 = 7,298.13 : x
  2. Step 2: Convert to fraction form
    8,037.75/12,034.21 = 7,298.13/x
  3. Step 3: Cross multiply
    8,037.75x = 12,034.21 × 7,298.13
  4. Step 4: Simplify right side
    8,037.75x = 87,827,229.03
  5. Step 5: Solve for x
    x = 87,827,229.03/8,037.75
  6. Step 6: Final answer
    x = 10,926.84

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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.