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Finding the Fourth Proportional to 9,608.64, 13,254.24 and 7,243.36

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Solution

The fourth proportional to 9,608.64, 13,254.24 and 7,243.36 is: 9,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.64 : 13,254.24 = 7,243.36 : x
  2. Step 2: Convert to fraction form
    9,608.64/13,254.24 = 7,243.36/x
  3. Step 3: Cross multiply
    9,608.64x = 13,254.24 × 7,243.36
  4. Step 4: Simplify right side
    9,608.64x = 96,005,231.85
  5. Step 5: Solve for x
    x = 96,005,231.85/9,608.64
  6. Step 6: Final answer
    x = 9,991.55

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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.