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Finding the Fourth Proportional to 8,462.28, 11,672.46 and 5,811.12

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Solution

The fourth proportional to 8,462.28, 11,672.46 and 5,811.12 is: 8,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.28 : 11,672.46 = 5,811.12 : x
  2. Step 2: Convert to fraction form
    8,462.28/11,672.46 = 5,811.12/x
  3. Step 3: Cross multiply
    8,462.28x = 11,672.46 × 5,811.12
  4. Step 4: Simplify right side
    8,462.28x = 67,830,065.76
  5. Step 5: Solve for x
    x = 67,830,065.76/8,462.28
  6. Step 6: Final answer
    x = 8,015.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.