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Finding the Fourth Proportional to 6,563.52, 9,056.72 and 3,731.20

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Solution

The fourth proportional to 6,563.52, 9,056.72 and 3,731.20 is: 5,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.52 : 9,056.72 = 3,731.20 : x
  2. Step 2: Convert to fraction form
    6,563.52/9,056.72 = 3,731.20/x
  3. Step 3: Cross multiply
    6,563.52x = 9,056.72 × 3,731.20
  4. Step 4: Simplify right side
    6,563.52x = 33,792,433.66
  5. Step 5: Solve for x
    x = 33,792,433.66/6,563.52
  6. Step 6: Final answer
    x = 5,148.52

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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.