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Finding the Fourth Proportional to 6,231.30, 9,352.05 and 6,182.70

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Solution

The fourth proportional to 6,231.30, 9,352.05 and 6,182.70 is: 9,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.30 : 9,352.05 = 6,182.70 : x
  2. Step 2: Convert to fraction form
    6,231.30/9,352.05 = 6,182.70/x
  3. Step 3: Cross multiply
    6,231.30x = 9,352.05 × 6,182.70
  4. Step 4: Simplify right side
    6,231.30x = 57,820,919.54
  5. Step 5: Solve for x
    x = 57,820,919.54/6,231.30
  6. Step 6: Final answer
    x = 9,279.11

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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.