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Finding the Fourth Proportional to 10,258.73, 15,388.09 and 7,922.14

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Solution

The fourth proportional to 10,258.73, 15,388.09 and 7,922.14 is: 11,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.73 : 15,388.09 = 7,922.14 : x
  2. Step 2: Convert to fraction form
    10,258.73/15,388.09 = 7,922.14/x
  3. Step 3: Cross multiply
    10,258.73x = 15,388.09 × 7,922.14
  4. Step 4: Simplify right side
    10,258.73x = 121,906,603.31
  5. Step 5: Solve for x
    x = 121,906,603.31/10,258.73
  6. Step 6: Final answer
    x = 11,883.21

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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.