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Finding the Fourth Proportional to 6,356.72, 9,541.56 and 4,382.48

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Solution

The fourth proportional to 6,356.72, 9,541.56 and 4,382.48 is: 6,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.72 : 9,541.56 = 4,382.48 : x
  2. Step 2: Convert to fraction form
    6,356.72/9,541.56 = 4,382.48/x
  3. Step 3: Cross multiply
    6,356.72x = 9,541.56 × 4,382.48
  4. Step 4: Simplify right side
    6,356.72x = 41,815,695.87
  5. Step 5: Solve for x
    x = 41,815,695.87/6,356.72
  6. Step 6: Final answer
    x = 6,578.19

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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.