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Finding the Fourth Proportional to 6,304.48, 9,439.92 and 5,566.24

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Solution

The fourth proportional to 6,304.48, 9,439.92 and 5,566.24 is: 8,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.48 : 9,439.92 = 5,566.24 : x
  2. Step 2: Convert to fraction form
    6,304.48/9,439.92 = 5,566.24/x
  3. Step 3: Cross multiply
    6,304.48x = 9,439.92 × 5,566.24
  4. Step 4: Simplify right side
    6,304.48x = 52,544,860.30
  5. Step 5: Solve for x
    x = 52,544,860.30/6,304.48
  6. Step 6: Final answer
    x = 8,334.53

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1.5x scale

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.