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Finding the Fourth Proportional to 11,882.88, 16,398.50 and 6,578.01

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Solution

The fourth proportional to 11,882.88, 16,398.50 and 6,578.01 is: 9,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.88 : 16,398.50 = 6,578.01 : x
  2. Step 2: Convert to fraction form
    11,882.88/16,398.50 = 6,578.01/x
  3. Step 3: Cross multiply
    11,882.88x = 16,398.50 × 6,578.01
  4. Step 4: Simplify right side
    11,882.88x = 107,869,464.09
  5. Step 5: Solve for x
    x = 107,869,464.09/11,882.88
  6. Step 6: Final answer
    x = 9,077.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.