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Finding the Fourth Proportional to 8,302.10, 12,453.14 and 2,458.55

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Solution

The fourth proportional to 8,302.10, 12,453.14 and 2,458.55 is: 3,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.10 : 12,453.14 = 2,458.55 : x
  2. Step 2: Convert to fraction form
    8,302.10/12,453.14 = 2,458.55/x
  3. Step 3: Cross multiply
    8,302.10x = 12,453.14 × 2,458.55
  4. Step 4: Simplify right side
    8,302.10x = 30,616,704.63
  5. Step 5: Solve for x
    x = 30,616,704.63/8,302.10
  6. Step 6: Final answer
    x = 3,687.83

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Similar ratio
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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.