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Finding the Fourth Proportional to 4,977.97, 7,468.17 and 1,515.22

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Solution

The fourth proportional to 4,977.97, 7,468.17 and 1,515.22 is: 2,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.97 : 7,468.17 = 1,515.22 : x
  2. Step 2: Convert to fraction form
    4,977.97/7,468.17 = 1,515.22/x
  3. Step 3: Cross multiply
    4,977.97x = 7,468.17 × 1,515.22
  4. Step 4: Simplify right side
    4,977.97x = 11,315,896.19
  5. Step 5: Solve for x
    x = 11,315,896.19/4,977.97
  6. Step 6: Final answer
    x = 2,273.20

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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.