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Finding the Fourth Proportional to 11,867.07, 16,375.13 and 6,561.17

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Solution

The fourth proportional to 11,867.07, 16,375.13 and 6,561.17 is: 9,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.07 : 16,375.13 = 6,561.17 : x
  2. Step 2: Convert to fraction form
    11,867.07/16,375.13 = 6,561.17/x
  3. Step 3: Cross multiply
    11,867.07x = 16,375.13 × 6,561.17
  4. Step 4: Simplify right side
    11,867.07x = 107,439,897.02
  5. Step 5: Solve for x
    x = 107,439,897.02/11,867.07
  6. Step 6: Final answer
    x = 9,053.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.