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Finding the Fourth Proportional to 6,388.81, 9,578.41 and 4,302.95

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Solution

The fourth proportional to 6,388.81, 9,578.41 and 4,302.95 is: 6,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.81 : 9,578.41 = 4,302.95 : x
  2. Step 2: Convert to fraction form
    6,388.81/9,578.41 = 4,302.95/x
  3. Step 3: Cross multiply
    6,388.81x = 9,578.41 × 4,302.95
  4. Step 4: Simplify right side
    6,388.81x = 41,215,432.50
  5. Step 5: Solve for x
    x = 41,215,432.50/6,388.81
  6. Step 6: Final answer
    x = 6,451.19

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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.