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Finding the Fourth Proportional to 8,191.69, 11,304.49 and 4,654.91

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Solution

The fourth proportional to 8,191.69, 11,304.49 and 4,654.91 is: 6,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.69 : 11,304.49 = 4,654.91 : x
  2. Step 2: Convert to fraction form
    8,191.69/11,304.49 = 4,654.91/x
  3. Step 3: Cross multiply
    8,191.69x = 11,304.49 × 4,654.91
  4. Step 4: Simplify right side
    8,191.69x = 52,621,383.55
  5. Step 5: Solve for x
    x = 52,621,383.55/8,191.69
  6. Step 6: Final answer
    x = 6,423.75

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Half scale
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Double scale
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Similar ratio
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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.