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Finding the Fourth Proportional to 6,263, 8,642.91 and 3,574.22

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Solution

The fourth proportional to 6,263, 8,642.91 and 3,574.22 is: 4,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263 : 8,642.91 = 3,574.22 : x
  2. Step 2: Convert to fraction form
    6,263/8,642.91 = 3,574.22/x
  3. Step 3: Cross multiply
    6,263x = 8,642.91 × 3,574.22
  4. Step 4: Simplify right side
    6,263x = 30,891,661.78
  5. Step 5: Solve for x
    x = 30,891,661.78/6,263
  6. Step 6: Final answer
    x = 4,932.41

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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.