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Finding the Fourth Proportional to 10,027.78, 13,831.92 and 8,043.10

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Solution

The fourth proportional to 10,027.78, 13,831.92 and 8,043.10 is: 11,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.78 : 13,831.92 = 8,043.10 : x
  2. Step 2: Convert to fraction form
    10,027.78/13,831.92 = 8,043.10/x
  3. Step 3: Cross multiply
    10,027.78x = 13,831.92 × 8,043.10
  4. Step 4: Simplify right side
    10,027.78x = 111,251,515.75
  5. Step 5: Solve for x
    x = 111,251,515.75/10,027.78
  6. Step 6: Final answer
    x = 11,094.33

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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.