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Finding the Fourth Proportional to 4,165.34, 6,251.09 and 1,974.08

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Solution

The fourth proportional to 4,165.34, 6,251.09 and 1,974.08 is: 2,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.34 : 6,251.09 = 1,974.08 : x
  2. Step 2: Convert to fraction form
    4,165.34/6,251.09 = 1,974.08/x
  3. Step 3: Cross multiply
    4,165.34x = 6,251.09 × 1,974.08
  4. Step 4: Simplify right side
    4,165.34x = 12,340,125.43
  5. Step 5: Solve for x
    x = 12,340,125.43/4,165.34
  6. Step 6: Final answer
    x = 2,962.57

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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.