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Finding the Fourth Proportional to 7,197.48, 10,778.94 and 4,113

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Solution

The fourth proportional to 7,197.48, 10,778.94 and 4,113 is: 6,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.48 : 10,778.94 = 4,113 : x
  2. Step 2: Convert to fraction form
    7,197.48/10,778.94 = 4,113/x
  3. Step 3: Cross multiply
    7,197.48x = 10,778.94 × 4,113
  4. Step 4: Simplify right side
    7,197.48x = 44,333,780.22
  5. Step 5: Solve for x
    x = 44,333,780.22/7,197.48
  6. Step 6: Final answer
    x = 6,159.63

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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.