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Finding the Fourth Proportional to 10,883.83, 15,019.80 and 6,104.78

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Solution

The fourth proportional to 10,883.83, 15,019.80 and 6,104.78 is: 8,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.83 : 15,019.80 = 6,104.78 : x
  2. Step 2: Convert to fraction form
    10,883.83/15,019.80 = 6,104.78/x
  3. Step 3: Cross multiply
    10,883.83x = 15,019.80 × 6,104.78
  4. Step 4: Simplify right side
    10,883.83x = 91,692,542.24
  5. Step 5: Solve for x
    x = 91,692,542.24/10,883.83
  6. Step 6: Final answer
    x = 8,424.66

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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.