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Finding the Fourth Proportional to 7,951, 10,972.38 and 4,414.78

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Solution

The fourth proportional to 7,951, 10,972.38 and 4,414.78 is: 6,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951 : 10,972.38 = 4,414.78 : x
  2. Step 2: Convert to fraction form
    7,951/10,972.38 = 4,414.78/x
  3. Step 3: Cross multiply
    7,951x = 10,972.38 × 4,414.78
  4. Step 4: Simplify right side
    7,951x = 48,440,643.78
  5. Step 5: Solve for x
    x = 48,440,643.78/7,951
  6. Step 6: Final answer
    x = 6,092.40

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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.