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Finding the Fourth Proportional to 11,765.66, 17,544.70 and 10,132.70

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Solution

The fourth proportional to 11,765.66, 17,544.70 and 10,132.70 is: 15,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.66 : 17,544.70 = 10,132.70 : x
  2. Step 2: Convert to fraction form
    11,765.66/17,544.70 = 10,132.70/x
  3. Step 3: Cross multiply
    11,765.66x = 17,544.70 × 10,132.70
  4. Step 4: Simplify right side
    11,765.66x = 177,775,112.50
  5. Step 5: Solve for x
    x = 177,775,112.50/11,765.66
  6. Step 6: Final answer
    x = 15,109.66

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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.