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Finding the Fourth Proportional to 23,930.75, 35,896.13 and 6,400.13

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Solution

The fourth proportional to 23,930.75, 35,896.13 and 6,400.13 is: 9,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.75 : 35,896.13 = 6,400.13 : x
  2. Step 2: Convert to fraction form
    23,930.75/35,896.13 = 6,400.13/x
  3. Step 3: Cross multiply
    23,930.75x = 35,896.13 × 6,400.13
  4. Step 4: Simplify right side
    23,930.75x = 229,739,711.02
  5. Step 5: Solve for x
    x = 229,739,711.02/23,930.75
  6. Step 6: Final answer
    x = 9,600.19

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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.