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Finding the Fourth Proportional to 11,407.03, 15,741.69 and 6,372.22

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Solution

The fourth proportional to 11,407.03, 15,741.69 and 6,372.22 is: 8,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.03 : 15,741.69 = 6,372.22 : x
  2. Step 2: Convert to fraction form
    11,407.03/15,741.69 = 6,372.22/x
  3. Step 3: Cross multiply
    11,407.03x = 15,741.69 × 6,372.22
  4. Step 4: Simplify right side
    11,407.03x = 100,309,513.96
  5. Step 5: Solve for x
    x = 100,309,513.96/11,407.03
  6. Step 6: Final answer
    x = 8,793.66

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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.