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Finding the Fourth Proportional to 6,364.60, 9,545.67 and 3,201.20

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Solution

The fourth proportional to 6,364.60, 9,545.67 and 3,201.20 is: 4,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.60 : 9,545.67 = 3,201.20 : x
  2. Step 2: Convert to fraction form
    6,364.60/9,545.67 = 3,201.20/x
  3. Step 3: Cross multiply
    6,364.60x = 9,545.67 × 3,201.20
  4. Step 4: Simplify right side
    6,364.60x = 30,557,574.87
  5. Step 5: Solve for x
    x = 30,557,574.87/6,364.60
  6. Step 6: Final answer
    x = 4,801.18

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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.