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Finding the Fourth Proportional to 8,195.76, 12,293.64 and 5,421.90

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Solution

The fourth proportional to 8,195.76, 12,293.64 and 5,421.90 is: 8,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.76 : 12,293.64 = 5,421.90 : x
  2. Step 2: Convert to fraction form
    8,195.76/12,293.64 = 5,421.90/x
  3. Step 3: Cross multiply
    8,195.76x = 12,293.64 × 5,421.90
  4. Step 4: Simplify right side
    8,195.76x = 66,654,886.72
  5. Step 5: Solve for x
    x = 66,654,886.72/8,195.76
  6. Step 6: Final answer
    x = 8,132.85

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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.