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Finding the Fourth Proportional to 8,342.28, 11,509.65 and 5,952.65

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Solution

The fourth proportional to 8,342.28, 11,509.65 and 5,952.65 is: 8,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.28 : 11,509.65 = 5,952.65 : x
  2. Step 2: Convert to fraction form
    8,342.28/11,509.65 = 5,952.65/x
  3. Step 3: Cross multiply
    8,342.28x = 11,509.65 × 5,952.65
  4. Step 4: Simplify right side
    8,342.28x = 68,512,860.52
  5. Step 5: Solve for x
    x = 68,512,860.52/8,342.28
  6. Step 6: Final answer
    x = 8,212.73

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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.