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Finding the Fourth Proportional to 4,745.59, 7,120.94 and 1,974.17

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Solution

The fourth proportional to 4,745.59, 7,120.94 and 1,974.17 is: 2,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.59 : 7,120.94 = 1,974.17 : x
  2. Step 2: Convert to fraction form
    4,745.59/7,120.94 = 1,974.17/x
  3. Step 3: Cross multiply
    4,745.59x = 7,120.94 × 1,974.17
  4. Step 4: Simplify right side
    4,745.59x = 14,057,954.05
  5. Step 5: Solve for x
    x = 14,057,954.05/4,745.59
  6. Step 6: Final answer
    x = 2,962.32

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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.