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Finding the Fourth Proportional to 11,883.44, 16,398.95 and 6,578.14

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Solution

The fourth proportional to 11,883.44, 16,398.95 and 6,578.14 is: 9,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.44 : 16,398.95 = 6,578.14 : x
  2. Step 2: Convert to fraction form
    11,883.44/16,398.95 = 6,578.14/x
  3. Step 3: Cross multiply
    11,883.44x = 16,398.95 × 6,578.14
  4. Step 4: Simplify right side
    11,883.44x = 107,874,613.51
  5. Step 5: Solve for x
    x = 107,874,613.51/11,883.44
  6. Step 6: Final answer
    x = 9,077.73

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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.