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Finding the Fourth Proportional to 6,617.40, 9,933.30 and 3,701.40

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Solution

The fourth proportional to 6,617.40, 9,933.30 and 3,701.40 is: 5,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.40 : 9,933.30 = 3,701.40 : x
  2. Step 2: Convert to fraction form
    6,617.40/9,933.30 = 3,701.40/x
  3. Step 3: Cross multiply
    6,617.40x = 9,933.30 × 3,701.40
  4. Step 4: Simplify right side
    6,617.40x = 36,767,116.62
  5. Step 5: Solve for x
    x = 36,767,116.62/6,617.40
  6. Step 6: Final answer
    x = 5,556.13

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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.