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Finding the Fourth Proportional to 11,578.60, 17,367.90 and 7,139.80

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Solution

The fourth proportional to 11,578.60, 17,367.90 and 7,139.80 is: 10,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.60 : 17,367.90 = 7,139.80 : x
  2. Step 2: Convert to fraction form
    11,578.60/17,367.90 = 7,139.80/x
  3. Step 3: Cross multiply
    11,578.60x = 17,367.90 × 7,139.80
  4. Step 4: Simplify right side
    11,578.60x = 124,003,332.42
  5. Step 5: Solve for x
    x = 124,003,332.42/11,578.60
  6. Step 6: Final answer
    x = 10,709.70

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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.