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Finding the Fourth Proportional to 11,691.14, 16,133.98 and 7,154.58

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Solution

The fourth proportional to 11,691.14, 16,133.98 and 7,154.58 is: 9,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.14 : 16,133.98 = 7,154.58 : x
  2. Step 2: Convert to fraction form
    11,691.14/16,133.98 = 7,154.58/x
  3. Step 3: Cross multiply
    11,691.14x = 16,133.98 × 7,154.58
  4. Step 4: Simplify right side
    11,691.14x = 115,431,850.63
  5. Step 5: Solve for x
    x = 115,431,850.63/11,691.14
  6. Step 6: Final answer
    x = 9,873.45

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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.