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Finding the Fourth Proportional to 4,659.90, 6,982.41 and 4,545.18

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Solution

The fourth proportional to 4,659.90, 6,982.41 and 4,545.18 is: 6,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.90 : 6,982.41 = 4,545.18 : x
  2. Step 2: Convert to fraction form
    4,659.90/6,982.41 = 4,545.18/x
  3. Step 3: Cross multiply
    4,659.90x = 6,982.41 × 4,545.18
  4. Step 4: Simplify right side
    4,659.90x = 31,736,310.28
  5. Step 5: Solve for x
    x = 31,736,310.28/4,659.90
  6. Step 6: Final answer
    x = 6,810.51

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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.