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Finding the Fourth Proportional to 8,294.60, 11,444.82 and 5,148.92

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Solution

The fourth proportional to 8,294.60, 11,444.82 and 5,148.92 is: 7,104.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.60 : 11,444.82 = 5,148.92 : x
  2. Step 2: Convert to fraction form
    8,294.60/11,444.82 = 5,148.92/x
  3. Step 3: Cross multiply
    8,294.60x = 11,444.82 × 5,148.92
  4. Step 4: Simplify right side
    8,294.60x = 58,928,462.59
  5. Step 5: Solve for x
    x = 58,928,462.59/8,294.60
  6. Step 6: Final answer
    x = 7,104.44

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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.