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Finding the Fourth Proportional to 5,609.40, 8,414.10 and 5,148.60

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Solution

The fourth proportional to 5,609.40, 8,414.10 and 5,148.60 is: 7,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.40 : 8,414.10 = 5,148.60 : x
  2. Step 2: Convert to fraction form
    5,609.40/8,414.10 = 5,148.60/x
  3. Step 3: Cross multiply
    5,609.40x = 8,414.10 × 5,148.60
  4. Step 4: Simplify right side
    5,609.40x = 43,320,835.26
  5. Step 5: Solve for x
    x = 43,320,835.26/5,609.40
  6. Step 6: Final answer
    x = 7,722.90

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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.