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Finding the Fourth Proportional to 11,757.76, 17,545.76 and 10,448.80

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Solution

The fourth proportional to 11,757.76, 17,545.76 and 10,448.80 is: 15,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.76 : 17,545.76 = 10,448.80 : x
  2. Step 2: Convert to fraction form
    11,757.76/17,545.76 = 10,448.80/x
  3. Step 3: Cross multiply
    11,757.76x = 17,545.76 × 10,448.80
  4. Step 4: Simplify right side
    11,757.76x = 183,332,137.09
  5. Step 5: Solve for x
    x = 183,332,137.09/11,757.76
  6. Step 6: Final answer
    x = 15,592.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.