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Finding the Fourth Proportional to 12,873.92, 17,764.80 and 8,156.48

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Solution

The fourth proportional to 12,873.92, 17,764.80 and 8,156.48 is: 11,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.92 : 17,764.80 = 8,156.48 : x
  2. Step 2: Convert to fraction form
    12,873.92/17,764.80 = 8,156.48/x
  3. Step 3: Cross multiply
    12,873.92x = 17,764.80 × 8,156.48
  4. Step 4: Simplify right side
    12,873.92x = 144,898,235.90
  5. Step 5: Solve for x
    x = 144,898,235.90/12,873.92
  6. Step 6: Final answer
    x = 11,255.18

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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.