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Finding the Fourth Proportional to 10,842.66, 16,262.37 and 3,447.63

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Solution

The fourth proportional to 10,842.66, 16,262.37 and 3,447.63 is: 5,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.66 : 16,262.37 = 3,447.63 : x
  2. Step 2: Convert to fraction form
    10,842.66/16,262.37 = 3,447.63/x
  3. Step 3: Cross multiply
    10,842.66x = 16,262.37 × 3,447.63
  4. Step 4: Simplify right side
    10,842.66x = 56,066,634.68
  5. Step 5: Solve for x
    x = 56,066,634.68/10,842.66
  6. Step 6: Final answer
    x = 5,170.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.