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Finding the Fourth Proportional to 6,003.40, 9,005.10 and 5,744.20

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Solution

The fourth proportional to 6,003.40, 9,005.10 and 5,744.20 is: 8,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.40 : 9,005.10 = 5,744.20 : x
  2. Step 2: Convert to fraction form
    6,003.40/9,005.10 = 5,744.20/x
  3. Step 3: Cross multiply
    6,003.40x = 9,005.10 × 5,744.20
  4. Step 4: Simplify right side
    6,003.40x = 51,727,095.42
  5. Step 5: Solve for x
    x = 51,727,095.42/6,003.40
  6. Step 6: Final answer
    x = 8,616.30

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Similar ratio
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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.