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Finding the Fourth Proportional to 6,217.56, 9,329.58 and 2,754

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Solution

The fourth proportional to 6,217.56, 9,329.58 and 2,754 is: 4,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.56 : 9,329.58 = 2,754 : x
  2. Step 2: Convert to fraction form
    6,217.56/9,329.58 = 2,754/x
  3. Step 3: Cross multiply
    6,217.56x = 9,329.58 × 2,754
  4. Step 4: Simplify right side
    6,217.56x = 25,693,663.32
  5. Step 5: Solve for x
    x = 25,693,663.32/6,217.56
  6. Step 6: Final answer
    x = 4,132.44

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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.