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Finding the Fourth Proportional to 7,950.97, 10,971.97 and 4,414.15

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Solution

The fourth proportional to 7,950.97, 10,971.97 and 4,414.15 is: 6,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.97 : 10,971.97 = 4,414.15 : x
  2. Step 2: Convert to fraction form
    7,950.97/10,971.97 = 4,414.15/x
  3. Step 3: Cross multiply
    7,950.97x = 10,971.97 × 4,414.15
  4. Step 4: Simplify right side
    7,950.97x = 48,431,921.38
  5. Step 5: Solve for x
    x = 48,431,921.38/7,950.97
  6. Step 6: Final answer
    x = 6,091.32

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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.