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Finding the Fourth Proportional to 5,174.97, 7,762.38 and 1,279.41

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Solution

The fourth proportional to 5,174.97, 7,762.38 and 1,279.41 is: 1,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.97 : 7,762.38 = 1,279.41 : x
  2. Step 2: Convert to fraction form
    5,174.97/7,762.38 = 1,279.41/x
  3. Step 3: Cross multiply
    5,174.97x = 7,762.38 × 1,279.41
  4. Step 4: Simplify right side
    5,174.97x = 9,931,266.60
  5. Step 5: Solve for x
    x = 9,931,266.60/5,174.97
  6. Step 6: Final answer
    x = 1,919.10

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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.