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Finding the Fourth Proportional to 16,495.97, 24,712.05 and 10,258.48

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Solution

The fourth proportional to 16,495.97, 24,712.05 and 10,258.48 is: 15,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.97 : 24,712.05 = 10,258.48 : x
  2. Step 2: Convert to fraction form
    16,495.97/24,712.05 = 10,258.48/x
  3. Step 3: Cross multiply
    16,495.97x = 24,712.05 × 10,258.48
  4. Step 4: Simplify right side
    16,495.97x = 253,507,947.12
  5. Step 5: Solve for x
    x = 253,507,947.12/16,495.97
  6. Step 6: Final answer
    x = 15,367.87

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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.