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Finding the Fourth Proportional to 11,887.68, 16,404.84 and 6,582.48

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Solution

The fourth proportional to 11,887.68, 16,404.84 and 6,582.48 is: 9,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.68 : 16,404.84 = 6,582.48 : x
  2. Step 2: Convert to fraction form
    11,887.68/16,404.84 = 6,582.48/x
  3. Step 3: Cross multiply
    11,887.68x = 16,404.84 × 6,582.48
  4. Step 4: Simplify right side
    11,887.68x = 107,984,531.20
  5. Step 5: Solve for x
    x = 107,984,531.20/11,887.68
  6. Step 6: Final answer
    x = 9,083.73

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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.