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Finding the Fourth Proportional to 4,098.66, 6,147.98 and 1,020.66

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Solution

The fourth proportional to 4,098.66, 6,147.98 and 1,020.66 is: 1,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.66 : 6,147.98 = 1,020.66 : x
  2. Step 2: Convert to fraction form
    4,098.66/6,147.98 = 1,020.66/x
  3. Step 3: Cross multiply
    4,098.66x = 6,147.98 × 1,020.66
  4. Step 4: Simplify right side
    4,098.66x = 6,274,997.27
  5. Step 5: Solve for x
    x = 6,274,997.27/4,098.66
  6. Step 6: Final answer
    x = 1,530.99

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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.