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Finding the Fourth Proportional to 5,769.50, 8,654.24 and 4,543.43

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Solution

The fourth proportional to 5,769.50, 8,654.24 and 4,543.43 is: 6,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.50 : 8,654.24 = 4,543.43 : x
  2. Step 2: Convert to fraction form
    5,769.50/8,654.24 = 4,543.43/x
  3. Step 3: Cross multiply
    5,769.50x = 8,654.24 × 4,543.43
  4. Step 4: Simplify right side
    5,769.50x = 39,319,901.73
  5. Step 5: Solve for x
    x = 39,319,901.73/5,769.50
  6. Step 6: Final answer
    x = 6,815.14

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.