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Finding the Fourth Proportional to 25,731.76, 38,592.23 and 7,259.44

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Solution

The fourth proportional to 25,731.76, 38,592.23 and 7,259.44 is: 10,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,731.76 : 38,592.23 = 7,259.44 : x
  2. Step 2: Convert to fraction form
    25,731.76/38,592.23 = 7,259.44/x
  3. Step 3: Cross multiply
    25,731.76x = 38,592.23 × 7,259.44
  4. Step 4: Simplify right side
    25,731.76x = 280,157,845.37
  5. Step 5: Solve for x
    x = 280,157,845.37/25,731.76
  6. Step 6: Final answer
    x = 10,887.63

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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.