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Finding the Fourth Proportional to 25,935.20, 38,902.80 and 7,215.20

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Solution

The fourth proportional to 25,935.20, 38,902.80 and 7,215.20 is: 10,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,935.20 : 38,902.80 = 7,215.20 : x
  2. Step 2: Convert to fraction form
    25,935.20/38,902.80 = 7,215.20/x
  3. Step 3: Cross multiply
    25,935.20x = 38,902.80 × 7,215.20
  4. Step 4: Simplify right side
    25,935.20x = 280,691,482.56
  5. Step 5: Solve for x
    x = 280,691,482.56/25,935.20
  6. Step 6: Final answer
    x = 10,822.80

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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.