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Finding the Fourth Proportional to 11,886.67, 16,404.71 and 6,581.48

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Solution

The fourth proportional to 11,886.67, 16,404.71 and 6,581.48 is: 9,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.67 : 16,404.71 = 6,581.48 : x
  2. Step 2: Convert to fraction form
    11,886.67/16,404.71 = 6,581.48/x
  3. Step 3: Cross multiply
    11,886.67x = 16,404.71 × 6,581.48
  4. Step 4: Simplify right side
    11,886.67x = 107,967,278.88
  5. Step 5: Solve for x
    x = 107,967,278.88/11,886.67
  6. Step 6: Final answer
    x = 9,083.06

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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.