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Finding the Fourth Proportional to 6,578.56, 9,867.90 and 2,196

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Solution

The fourth proportional to 6,578.56, 9,867.90 and 2,196 is: 3,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.56 : 9,867.90 = 2,196 : x
  2. Step 2: Convert to fraction form
    6,578.56/9,867.90 = 2,196/x
  3. Step 3: Cross multiply
    6,578.56x = 9,867.90 × 2,196
  4. Step 4: Simplify right side
    6,578.56x = 21,669,908.40
  5. Step 5: Solve for x
    x = 21,669,908.40/6,578.56
  6. Step 6: Final answer
    x = 3,294.02

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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.