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Finding the Fourth Proportional to 4,146.80, 6,220.02 and 1,026.80

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Solution

The fourth proportional to 4,146.80, 6,220.02 and 1,026.80 is: 1,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.80 : 6,220.02 = 1,026.80 : x
  2. Step 2: Convert to fraction form
    4,146.80/6,220.02 = 1,026.80/x
  3. Step 3: Cross multiply
    4,146.80x = 6,220.02 × 1,026.80
  4. Step 4: Simplify right side
    4,146.80x = 6,386,716.54
  5. Step 5: Solve for x
    x = 6,386,716.54/4,146.80
  6. Step 6: Final answer
    x = 1,540.16

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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.