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Finding the Fourth Proportional to 7,843.31, 10,823.78 and 4,258.29

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Solution

The fourth proportional to 7,843.31, 10,823.78 and 4,258.29 is: 5,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.31 : 10,823.78 = 4,258.29 : x
  2. Step 2: Convert to fraction form
    7,843.31/10,823.78 = 4,258.29/x
  3. Step 3: Cross multiply
    7,843.31x = 10,823.78 × 4,258.29
  4. Step 4: Simplify right side
    7,843.31x = 46,090,772.84
  5. Step 5: Solve for x
    x = 46,090,772.84/7,843.31
  6. Step 6: Final answer
    x = 5,876.45

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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.