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Finding the Fourth Proportional to 10,934.60, 16,401.90 and 10,089.80

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Solution

The fourth proportional to 10,934.60, 16,401.90 and 10,089.80 is: 15,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.60 : 16,401.90 = 10,089.80 : x
  2. Step 2: Convert to fraction form
    10,934.60/16,401.90 = 10,089.80/x
  3. Step 3: Cross multiply
    10,934.60x = 16,401.90 × 10,089.80
  4. Step 4: Simplify right side
    10,934.60x = 165,491,890.62
  5. Step 5: Solve for x
    x = 165,491,890.62/10,934.60
  6. Step 6: Final answer
    x = 15,134.70

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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.