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Finding the Fourth Proportional to 6,511.42, 9,770.56 and 3,552

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Solution

The fourth proportional to 6,511.42, 9,770.56 and 3,552 is: 5,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.42 : 9,770.56 = 3,552 : x
  2. Step 2: Convert to fraction form
    6,511.42/9,770.56 = 3,552/x
  3. Step 3: Cross multiply
    6,511.42x = 9,770.56 × 3,552
  4. Step 4: Simplify right side
    6,511.42x = 34,705,029.12
  5. Step 5: Solve for x
    x = 34,705,029.12/6,511.42
  6. Step 6: Final answer
    x = 5,329.87

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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.