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Finding the Fourth Proportional to 11,866.68, 17,713.07 and 10,465.44

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Solution

The fourth proportional to 11,866.68, 17,713.07 and 10,465.44 is: 15,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.68 : 17,713.07 = 10,465.44 : x
  2. Step 2: Convert to fraction form
    11,866.68/17,713.07 = 10,465.44/x
  3. Step 3: Cross multiply
    11,866.68x = 17,713.07 × 10,465.44
  4. Step 4: Simplify right side
    11,866.68x = 185,375,018.97
  5. Step 5: Solve for x
    x = 185,375,018.97/11,866.68
  6. Step 6: Final answer
    x = 15,621.47

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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.