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Finding the Fourth Proportional to 10,801.97, 14,906.72 and 5,833.97

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Solution

The fourth proportional to 10,801.97, 14,906.72 and 5,833.97 is: 8,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.97 : 14,906.72 = 5,833.97 : x
  2. Step 2: Convert to fraction form
    10,801.97/14,906.72 = 5,833.97/x
  3. Step 3: Cross multiply
    10,801.97x = 14,906.72 × 5,833.97
  4. Step 4: Simplify right side
    10,801.97x = 86,965,331.35
  5. Step 5: Solve for x
    x = 86,965,331.35/10,801.97
  6. Step 6: Final answer
    x = 8,050.88

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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.