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Finding the Fourth Proportional to 10,757.99, 14,842.21 and 6,778.33

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Solution

The fourth proportional to 10,757.99, 14,842.21 and 6,778.33 is: 9,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.99 : 14,842.21 = 6,778.33 : x
  2. Step 2: Convert to fraction form
    10,757.99/14,842.21 = 6,778.33/x
  3. Step 3: Cross multiply
    10,757.99x = 14,842.21 × 6,778.33
  4. Step 4: Simplify right side
    10,757.99x = 100,605,458.52
  5. Step 5: Solve for x
    x = 100,605,458.52/10,757.99
  6. Step 6: Final answer
    x = 9,351.70

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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.