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Finding the Fourth Proportional to 8,462.96, 12,672.54 and 5,838.56

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Solution

The fourth proportional to 8,462.96, 12,672.54 and 5,838.56 is: 8,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.96 : 12,672.54 = 5,838.56 : x
  2. Step 2: Convert to fraction form
    8,462.96/12,672.54 = 5,838.56/x
  3. Step 3: Cross multiply
    8,462.96x = 12,672.54 × 5,838.56
  4. Step 4: Simplify right side
    8,462.96x = 73,989,385.14
  5. Step 5: Solve for x
    x = 73,989,385.14/8,462.96
  6. Step 6: Final answer
    x = 8,742.73

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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.