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Finding the Fourth Proportional to 25,734.88, 38,602.64 and 7,015.84

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Solution

The fourth proportional to 25,734.88, 38,602.64 and 7,015.84 is: 10,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734.88 : 38,602.64 = 7,015.84 : x
  2. Step 2: Convert to fraction form
    25,734.88/38,602.64 = 7,015.84/x
  3. Step 3: Cross multiply
    25,734.88x = 38,602.64 × 7,015.84
  4. Step 4: Simplify right side
    25,734.88x = 270,829,945.82
  5. Step 5: Solve for x
    x = 270,829,945.82/25,734.88
  6. Step 6: Final answer
    x = 10,523.85

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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.