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Finding the Fourth Proportional to 10,891.40, 16,337.10 and 6,506.60

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Solution

The fourth proportional to 10,891.40, 16,337.10 and 6,506.60 is: 9,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.40 : 16,337.10 = 6,506.60 : x
  2. Step 2: Convert to fraction form
    10,891.40/16,337.10 = 6,506.60/x
  3. Step 3: Cross multiply
    10,891.40x = 16,337.10 × 6,506.60
  4. Step 4: Simplify right side
    10,891.40x = 106,298,974.86
  5. Step 5: Solve for x
    x = 106,298,974.86/10,891.40
  6. Step 6: Final answer
    x = 9,759.90

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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.