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Finding the Fourth Proportional to 9,778.50, 13,498.98 and 6,195.24

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Solution

The fourth proportional to 9,778.50, 13,498.98 and 6,195.24 is: 8,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.50 : 13,498.98 = 6,195.24 : x
  2. Step 2: Convert to fraction form
    9,778.50/13,498.98 = 6,195.24/x
  3. Step 3: Cross multiply
    9,778.50x = 13,498.98 × 6,195.24
  4. Step 4: Simplify right side
    9,778.50x = 83,629,420.86
  5. Step 5: Solve for x
    x = 83,629,420.86/9,778.50
  6. Step 6: Final answer
    x = 8,552.38

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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.