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Finding the Fourth Proportional to 7,839.99, 11,758.77 and 2,574.99

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Solution

The fourth proportional to 7,839.99, 11,758.77 and 2,574.99 is: 3,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.99 : 11,758.77 = 2,574.99 : x
  2. Step 2: Convert to fraction form
    7,839.99/11,758.77 = 2,574.99/x
  3. Step 3: Cross multiply
    7,839.99x = 11,758.77 × 2,574.99
  4. Step 4: Simplify right side
    7,839.99x = 30,278,715.16
  5. Step 5: Solve for x
    x = 30,278,715.16/7,839.99
  6. Step 6: Final answer
    x = 3,862.09

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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.