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Finding the Fourth Proportional to 6,578.64, 9,867.96 and 2,678.76

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Solution

The fourth proportional to 6,578.64, 9,867.96 and 2,678.76 is: 4,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.64 : 9,867.96 = 2,678.76 : x
  2. Step 2: Convert to fraction form
    6,578.64/9,867.96 = 2,678.76/x
  3. Step 3: Cross multiply
    6,578.64x = 9,867.96 × 2,678.76
  4. Step 4: Simplify right side
    6,578.64x = 26,433,896.53
  5. Step 5: Solve for x
    x = 26,433,896.53/6,578.64
  6. Step 6: Final answer
    x = 4,018.14

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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.