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Finding the Fourth Proportional to 12,834.54, 17,712.14 and 7,092.05

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Solution

The fourth proportional to 12,834.54, 17,712.14 and 7,092.05 is: 9,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.54 : 17,712.14 = 7,092.05 : x
  2. Step 2: Convert to fraction form
    12,834.54/17,712.14 = 7,092.05/x
  3. Step 3: Cross multiply
    12,834.54x = 17,712.14 × 7,092.05
  4. Step 4: Simplify right side
    12,834.54x = 125,615,258.47
  5. Step 5: Solve for x
    x = 125,615,258.47/12,834.54
  6. Step 6: Final answer
    x = 9,787.28

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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.