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Finding the Fourth Proportional to 10,494.77, 15,741.89 and 4,253.10

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Solution

The fourth proportional to 10,494.77, 15,741.89 and 4,253.10 is: 6,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.77 : 15,741.89 = 4,253.10 : x
  2. Step 2: Convert to fraction form
    10,494.77/15,741.89 = 4,253.10/x
  3. Step 3: Cross multiply
    10,494.77x = 15,741.89 × 4,253.10
  4. Step 4: Simplify right side
    10,494.77x = 66,951,811.09
  5. Step 5: Solve for x
    x = 66,951,811.09/10,494.77
  6. Step 6: Final answer
    x = 6,379.54

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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.