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Finding the Fourth Proportional to 11,842.58, 16,343.85 and 8,262.74

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Solution

The fourth proportional to 11,842.58, 16,343.85 and 8,262.74 is: 11,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.58 : 16,343.85 = 8,262.74 : x
  2. Step 2: Convert to fraction form
    11,842.58/16,343.85 = 8,262.74/x
  3. Step 3: Cross multiply
    11,842.58x = 16,343.85 × 8,262.74
  4. Step 4: Simplify right side
    11,842.58x = 135,044,901.43
  5. Step 5: Solve for x
    x = 135,044,901.43/11,842.58
  6. Step 6: Final answer
    x = 11,403.33

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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.