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Finding the Fourth Proportional to 5,609.40, 8,414.10 and 5,244.90

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Solution

The fourth proportional to 5,609.40, 8,414.10 and 5,244.90 is: 7,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.40 : 8,414.10 = 5,244.90 : x
  2. Step 2: Convert to fraction form
    5,609.40/8,414.10 = 5,244.90/x
  3. Step 3: Cross multiply
    5,609.40x = 8,414.10 × 5,244.90
  4. Step 4: Simplify right side
    5,609.40x = 44,131,113.09
  5. Step 5: Solve for x
    x = 44,131,113.09/5,609.40
  6. Step 6: Final answer
    x = 7,867.35

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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.