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Finding the Fourth Proportional to 25,902.75, 38,854.97 and 7,182.99

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Solution

The fourth proportional to 25,902.75, 38,854.97 and 7,182.99 is: 10,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.75 : 38,854.97 = 7,182.99 : x
  2. Step 2: Convert to fraction form
    25,902.75/38,854.97 = 7,182.99/x
  3. Step 3: Cross multiply
    25,902.75x = 38,854.97 × 7,182.99
  4. Step 4: Simplify right side
    25,902.75x = 279,094,825.05
  5. Step 5: Solve for x
    x = 279,094,825.05/25,902.75
  6. Step 6: Final answer
    x = 10,774.72

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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.