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Finding the Fourth Proportional to 9,876.92, 13,630.11 and 5,900.36

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Solution

The fourth proportional to 9,876.92, 13,630.11 and 5,900.36 is: 8,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.92 : 13,630.11 = 5,900.36 : x
  2. Step 2: Convert to fraction form
    9,876.92/13,630.11 = 5,900.36/x
  3. Step 3: Cross multiply
    9,876.92x = 13,630.11 × 5,900.36
  4. Step 4: Simplify right side
    9,876.92x = 80,422,487.69
  5. Step 5: Solve for x
    x = 80,422,487.69/9,876.92
  6. Step 6: Final answer
    x = 8,142.47

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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.