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Finding the Fourth Proportional to 6,874.24, 9,486.72 and 5,883.52

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Solution

The fourth proportional to 6,874.24, 9,486.72 and 5,883.52 is: 8,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.24 : 9,486.72 = 5,883.52 : x
  2. Step 2: Convert to fraction form
    6,874.24/9,486.72 = 5,883.52/x
  3. Step 3: Cross multiply
    6,874.24x = 9,486.72 × 5,883.52
  4. Step 4: Simplify right side
    6,874.24x = 55,815,306.85
  5. Step 5: Solve for x
    x = 55,815,306.85/6,874.24
  6. Step 6: Final answer
    x = 8,119.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.