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Finding the Fourth Proportional to 10,798.72, 14,902.92 and 8,141.44

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Solution

The fourth proportional to 10,798.72, 14,902.92 and 8,141.44 is: 11,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.72 : 14,902.92 = 8,141.44 : x
  2. Step 2: Convert to fraction form
    10,798.72/14,902.92 = 8,141.44/x
  3. Step 3: Cross multiply
    10,798.72x = 14,902.92 × 8,141.44
  4. Step 4: Simplify right side
    10,798.72x = 121,331,229.00
  5. Step 5: Solve for x
    x = 121,331,229.00/10,798.72
  6. Step 6: Final answer
    x = 11,235.70

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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.