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Finding the Fourth Proportional to 12,398.25, 17,112.54 and 7,096.13

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Solution

The fourth proportional to 12,398.25, 17,112.54 and 7,096.13 is: 9,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.25 : 17,112.54 = 7,096.13 : x
  2. Step 2: Convert to fraction form
    12,398.25/17,112.54 = 7,096.13/x
  3. Step 3: Cross multiply
    12,398.25x = 17,112.54 × 7,096.13
  4. Step 4: Simplify right side
    12,398.25x = 121,432,722.91
  5. Step 5: Solve for x
    x = 121,432,722.91/12,398.25
  6. Step 6: Final answer
    x = 9,794.34

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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.