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Finding the Fourth Proportional to 7,966.71, 10,992.78 and 4,429.85

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Solution

The fourth proportional to 7,966.71, 10,992.78 and 4,429.85 is: 6,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.71 : 10,992.78 = 4,429.85 : x
  2. Step 2: Convert to fraction form
    7,966.71/10,992.78 = 4,429.85/x
  3. Step 3: Cross multiply
    7,966.71x = 10,992.78 × 4,429.85
  4. Step 4: Simplify right side
    7,966.71x = 48,696,311.52
  5. Step 5: Solve for x
    x = 48,696,311.52/7,966.71
  6. Step 6: Final answer
    x = 6,112.47

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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.