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Finding the Fourth Proportional to 7,950.74, 10,972.38 and 4,414

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Solution

The fourth proportional to 7,950.74, 10,972.38 and 4,414 is: 6,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.74 : 10,972.38 = 4,414 : x
  2. Step 2: Convert to fraction form
    7,950.74/10,972.38 = 4,414/x
  3. Step 3: Cross multiply
    7,950.74x = 10,972.38 × 4,414
  4. Step 4: Simplify right side
    7,950.74x = 48,432,085.32
  5. Step 5: Solve for x
    x = 48,432,085.32/7,950.74
  6. Step 6: Final answer
    x = 6,091.52

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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.