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Finding the Fourth Proportional to 8,262.87, 11,404.62 and 6,934.26

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Solution

The fourth proportional to 8,262.87, 11,404.62 and 6,934.26 is: 9,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.87 : 11,404.62 = 6,934.26 : x
  2. Step 2: Convert to fraction form
    8,262.87/11,404.62 = 6,934.26/x
  3. Step 3: Cross multiply
    8,262.87x = 11,404.62 × 6,934.26
  4. Step 4: Simplify right side
    8,262.87x = 79,082,643.05
  5. Step 5: Solve for x
    x = 79,082,643.05/8,262.87
  6. Step 6: Final answer
    x = 9,570.85

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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.