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Finding the Fourth Proportional to 6,366.71, 9,543.69 and 3,029.11

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Solution

The fourth proportional to 6,366.71, 9,543.69 and 3,029.11 is: 4,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.71 : 9,543.69 = 3,029.11 : x
  2. Step 2: Convert to fraction form
    6,366.71/9,543.69 = 3,029.11/x
  3. Step 3: Cross multiply
    6,366.71x = 9,543.69 × 3,029.11
  4. Step 4: Simplify right side
    6,366.71x = 28,908,886.82
  5. Step 5: Solve for x
    x = 28,908,886.82/6,366.71
  6. Step 6: Final answer
    x = 4,540.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.