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Finding the Fourth Proportional to 5,248.48, 7,872.24 and 1,600.48

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Solution

The fourth proportional to 5,248.48, 7,872.24 and 1,600.48 is: 2,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.48 : 7,872.24 = 1,600.48 : x
  2. Step 2: Convert to fraction form
    5,248.48/7,872.24 = 1,600.48/x
  3. Step 3: Cross multiply
    5,248.48x = 7,872.24 × 1,600.48
  4. Step 4: Simplify right side
    5,248.48x = 12,599,362.68
  5. Step 5: Solve for x
    x = 12,599,362.68/5,248.48
  6. Step 6: Final answer
    x = 2,400.57

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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.