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Finding the Fourth Proportional to 6,476.18, 8,932.34 and 4,797.65

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Solution

The fourth proportional to 6,476.18, 8,932.34 and 4,797.65 is: 6,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.18 : 8,932.34 = 4,797.65 : x
  2. Step 2: Convert to fraction form
    6,476.18/8,932.34 = 4,797.65/x
  3. Step 3: Cross multiply
    6,476.18x = 8,932.34 × 4,797.65
  4. Step 4: Simplify right side
    6,476.18x = 42,854,275.33
  5. Step 5: Solve for x
    x = 42,854,275.33/6,476.18
  6. Step 6: Final answer
    x = 6,617.22

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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.