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Finding the Fourth Proportional to 9,720.48, 13,375.92 and 9,462.56

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Solution

The fourth proportional to 9,720.48, 13,375.92 and 9,462.56 is: 13,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.48 : 13,375.92 = 9,462.56 : x
  2. Step 2: Convert to fraction form
    9,720.48/13,375.92 = 9,462.56/x
  3. Step 3: Cross multiply
    9,720.48x = 13,375.92 × 9,462.56
  4. Step 4: Simplify right side
    9,720.48x = 126,570,445.56
  5. Step 5: Solve for x
    x = 126,570,445.56/9,720.48
  6. Step 6: Final answer
    x = 13,021.01

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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.