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Finding the Fourth Proportional to 10,842.97, 14,963.41 and 6,366.77

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Solution

The fourth proportional to 10,842.97, 14,963.41 and 6,366.77 is: 8,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.97 : 14,963.41 = 6,366.77 : x
  2. Step 2: Convert to fraction form
    10,842.97/14,963.41 = 6,366.77/x
  3. Step 3: Cross multiply
    10,842.97x = 14,963.41 × 6,366.77
  4. Step 4: Simplify right side
    10,842.97x = 95,268,635.25
  5. Step 5: Solve for x
    x = 95,268,635.25/10,842.97
  6. Step 6: Final answer
    x = 8,786.21

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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.