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Finding the Fourth Proportional to 6,632.26, 9,150.66 and 4,275.78

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Solution

The fourth proportional to 6,632.26, 9,150.66 and 4,275.78 is: 5,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.26 : 9,150.66 = 4,275.78 : x
  2. Step 2: Convert to fraction form
    6,632.26/9,150.66 = 4,275.78/x
  3. Step 3: Cross multiply
    6,632.26x = 9,150.66 × 4,275.78
  4. Step 4: Simplify right side
    6,632.26x = 39,126,209.01
  5. Step 5: Solve for x
    x = 39,126,209.01/6,632.26
  6. Step 6: Final answer
    x = 5,899.38

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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.