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Finding the Fourth Proportional to 12,082.62, 16,674.17 and 7,301.89

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Solution

The fourth proportional to 12,082.62, 16,674.17 and 7,301.89 is: 10,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.62 : 16,674.17 = 7,301.89 : x
  2. Step 2: Convert to fraction form
    12,082.62/16,674.17 = 7,301.89/x
  3. Step 3: Cross multiply
    12,082.62x = 16,674.17 × 7,301.89
  4. Step 4: Simplify right side
    12,082.62x = 121,752,955.18
  5. Step 5: Solve for x
    x = 121,752,955.18/12,082.62
  6. Step 6: Final answer
    x = 10,076.70

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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.