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Finding the Fourth Proportional to 25,592.25, 38,388.48 and 7,822.84

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Solution

The fourth proportional to 25,592.25, 38,388.48 and 7,822.84 is: 11,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,592.25 : 38,388.48 = 7,822.84 : x
  2. Step 2: Convert to fraction form
    25,592.25/38,388.48 = 7,822.84/x
  3. Step 3: Cross multiply
    25,592.25x = 38,388.48 × 7,822.84
  4. Step 4: Simplify right side
    25,592.25x = 300,307,103.70
  5. Step 5: Solve for x
    x = 300,307,103.70/25,592.25
  6. Step 6: Final answer
    x = 11,734.30

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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.