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Finding the Fourth Proportional to 25,883.60, 38,799.80 and 10,280.40

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Solution

The fourth proportional to 25,883.60, 38,799.80 and 10,280.40 is: 15,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.60 : 38,799.80 = 10,280.40 : x
  2. Step 2: Convert to fraction form
    25,883.60/38,799.80 = 10,280.40/x
  3. Step 3: Cross multiply
    25,883.60x = 38,799.80 × 10,280.40
  4. Step 4: Simplify right side
    25,883.60x = 398,877,463.92
  5. Step 5: Solve for x
    x = 398,877,463.92/25,883.60
  6. Step 6: Final answer
    x = 15,410.43

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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.