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Finding the Fourth Proportional to 8,191.44, 11,304.23 and 4,654.85

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Solution

The fourth proportional to 8,191.44, 11,304.23 and 4,654.85 is: 6,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.44 : 11,304.23 = 4,654.85 : x
  2. Step 2: Convert to fraction form
    8,191.44/11,304.23 = 4,654.85/x
  3. Step 3: Cross multiply
    8,191.44x = 11,304.23 × 4,654.85
  4. Step 4: Simplify right side
    8,191.44x = 52,619,495.02
  5. Step 5: Solve for x
    x = 52,619,495.02/8,191.44
  6. Step 6: Final answer
    x = 6,423.72

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Double scale
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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.