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Finding the Fourth Proportional to 12,474.72, 17,213.44 and 7,097.28

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Solution

The fourth proportional to 12,474.72, 17,213.44 and 7,097.28 is: 9,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.72 : 17,213.44 = 7,097.28 : x
  2. Step 2: Convert to fraction form
    12,474.72/17,213.44 = 7,097.28/x
  3. Step 3: Cross multiply
    12,474.72x = 17,213.44 × 7,097.28
  4. Step 4: Simplify right side
    12,474.72x = 122,168,603.44
  5. Step 5: Solve for x
    x = 122,168,603.44/12,474.72
  6. Step 6: Final answer
    x = 9,793.29

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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.