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Finding the Fourth Proportional to 12,577.92, 17,359.05 and 7,202.34

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Solution

The fourth proportional to 12,577.92, 17,359.05 and 7,202.34 is: 9,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.92 : 17,359.05 = 7,202.34 : x
  2. Step 2: Convert to fraction form
    12,577.92/17,359.05 = 7,202.34/x
  3. Step 3: Cross multiply
    12,577.92x = 17,359.05 × 7,202.34
  4. Step 4: Simplify right side
    12,577.92x = 125,025,780.18
  5. Step 5: Solve for x
    x = 125,025,780.18/12,577.92
  6. Step 6: Final answer
    x = 9,940.10

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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.