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Finding the Fourth Proportional to 6,578.16, 9,867.48 and 2,195.76

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Solution

The fourth proportional to 6,578.16, 9,867.48 and 2,195.76 is: 3,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.16 : 9,867.48 = 2,195.76 : x
  2. Step 2: Convert to fraction form
    6,578.16/9,867.48 = 2,195.76/x
  3. Step 3: Cross multiply
    6,578.16x = 9,867.48 × 2,195.76
  4. Step 4: Simplify right side
    6,578.16x = 21,666,617.88
  5. Step 5: Solve for x
    x = 21,666,617.88/6,578.16
  6. Step 6: Final answer
    x = 3,293.72

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1.5x scale

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.