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Finding the Fourth Proportional to 10,691.60, 16,015.80 and 7,408.40

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Solution

The fourth proportional to 10,691.60, 16,015.80 and 7,408.40 is: 11,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.60 : 16,015.80 = 7,408.40 : x
  2. Step 2: Convert to fraction form
    10,691.60/16,015.80 = 7,408.40/x
  3. Step 3: Cross multiply
    10,691.60x = 16,015.80 × 7,408.40
  4. Step 4: Simplify right side
    10,691.60x = 118,651,452.72
  5. Step 5: Solve for x
    x = 118,651,452.72/10,691.60
  6. Step 6: Final answer
    x = 11,097.63

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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.