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Finding the Fourth Proportional to 9,447.96, 13,041.24 and 8,451.48

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Solution

The fourth proportional to 9,447.96, 13,041.24 and 8,451.48 is: 11,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.96 : 13,041.24 = 8,451.48 : x
  2. Step 2: Convert to fraction form
    9,447.96/13,041.24 = 8,451.48/x
  3. Step 3: Cross multiply
    9,447.96x = 13,041.24 × 8,451.48
  4. Step 4: Simplify right side
    9,447.96x = 110,217,779.04
  5. Step 5: Solve for x
    x = 110,217,779.04/9,447.96
  6. Step 6: Final answer
    x = 11,665.78

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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.