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Finding the Fourth Proportional to 8,301.72, 12,450.14 and 6,837.24

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Solution

The fourth proportional to 8,301.72, 12,450.14 and 6,837.24 is: 10,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.72 : 12,450.14 = 6,837.24 : x
  2. Step 2: Convert to fraction form
    8,301.72/12,450.14 = 6,837.24/x
  3. Step 3: Cross multiply
    8,301.72x = 12,450.14 × 6,837.24
  4. Step 4: Simplify right side
    8,301.72x = 85,124,595.21
  5. Step 5: Solve for x
    x = 85,124,595.21/8,301.72
  6. Step 6: Final answer
    x = 10,253.85

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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.