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Finding the Fourth Proportional to 8,277.70, 12,416.55 and 8,200.90

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Solution

The fourth proportional to 8,277.70, 12,416.55 and 8,200.90 is: 12,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.70 : 12,416.55 = 8,200.90 : x
  2. Step 2: Convert to fraction form
    8,277.70/12,416.55 = 8,200.90/x
  3. Step 3: Cross multiply
    8,277.70x = 12,416.55 × 8,200.90
  4. Step 4: Simplify right side
    8,277.70x = 101,826,884.90
  5. Step 5: Solve for x
    x = 101,826,884.90/8,277.70
  6. Step 6: Final answer
    x = 12,301.35

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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.