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Finding the Fourth Proportional to 6,164.48, 9,239.02 and 3,389.42

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Solution

The fourth proportional to 6,164.48, 9,239.02 and 3,389.42 is: 5,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.48 : 9,239.02 = 3,389.42 : x
  2. Step 2: Convert to fraction form
    6,164.48/9,239.02 = 3,389.42/x
  3. Step 3: Cross multiply
    6,164.48x = 9,239.02 × 3,389.42
  4. Step 4: Simplify right side
    6,164.48x = 31,314,919.17
  5. Step 5: Solve for x
    x = 31,314,919.17/6,164.48
  6. Step 6: Final answer
    x = 5,079.90

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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.