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Finding the Fourth Proportional to 7,392.72, 11,098.80 and 5,202.48

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Solution

The fourth proportional to 7,392.72, 11,098.80 and 5,202.48 is: 7,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.72 : 11,098.80 = 5,202.48 : x
  2. Step 2: Convert to fraction form
    7,392.72/11,098.80 = 5,202.48/x
  3. Step 3: Cross multiply
    7,392.72x = 11,098.80 × 5,202.48
  4. Step 4: Simplify right side
    7,392.72x = 57,741,285.02
  5. Step 5: Solve for x
    x = 57,741,285.02/7,392.72
  6. Step 6: Final answer
    x = 7,810.56

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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.