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Finding the Fourth Proportional to 10,701.56, 16,049.82 and 6,023.56

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Solution

The fourth proportional to 10,701.56, 16,049.82 and 6,023.56 is: 9,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.56 : 16,049.82 = 6,023.56 : x
  2. Step 2: Convert to fraction form
    10,701.56/16,049.82 = 6,023.56/x
  3. Step 3: Cross multiply
    10,701.56x = 16,049.82 × 6,023.56
  4. Step 4: Simplify right side
    10,701.56x = 96,677,053.76
  5. Step 5: Solve for x
    x = 96,677,053.76/10,701.56
  6. Step 6: Final answer
    x = 9,033.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.