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Finding the Fourth Proportional to 6,877.76, 9,495.44 and 4,524

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Solution

The fourth proportional to 6,877.76, 9,495.44 and 4,524 is: 6,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.76 : 9,495.44 = 4,524 : x
  2. Step 2: Convert to fraction form
    6,877.76/9,495.44 = 4,524/x
  3. Step 3: Cross multiply
    6,877.76x = 9,495.44 × 4,524
  4. Step 4: Simplify right side
    6,877.76x = 42,957,370.56
  5. Step 5: Solve for x
    x = 42,957,370.56/6,877.76
  6. Step 6: Final answer
    x = 6,245.84

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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.