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Finding the Fourth Proportional to 5,965.41, 8,948.12 and 2,266.77

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Solution

The fourth proportional to 5,965.41, 8,948.12 and 2,266.77 is: 3,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.41 : 8,948.12 = 2,266.77 : x
  2. Step 2: Convert to fraction form
    5,965.41/8,948.12 = 2,266.77/x
  3. Step 3: Cross multiply
    5,965.41x = 8,948.12 × 2,266.77
  4. Step 4: Simplify right side
    5,965.41x = 20,283,329.97
  5. Step 5: Solve for x
    x = 20,283,329.97/5,965.41
  6. Step 6: Final answer
    x = 3,400.16

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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.