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Finding the Fourth Proportional to 10,029.73, 13,834.97 and 6,443.48

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Solution

The fourth proportional to 10,029.73, 13,834.97 and 6,443.48 is: 8,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.73 : 13,834.97 = 6,443.48 : x
  2. Step 2: Convert to fraction form
    10,029.73/13,834.97 = 6,443.48/x
  3. Step 3: Cross multiply
    10,029.73x = 13,834.97 × 6,443.48
  4. Step 4: Simplify right side
    10,029.73x = 89,145,352.50
  5. Step 5: Solve for x
    x = 89,145,352.50/10,029.73
  6. Step 6: Final answer
    x = 8,888.11

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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.