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Finding the Fourth Proportional to 23,478.84, 35,217.54 and 7,896.42

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Solution

The fourth proportional to 23,478.84, 35,217.54 and 7,896.42 is: 11,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.84 : 35,217.54 = 7,896.42 : x
  2. Step 2: Convert to fraction form
    23,478.84/35,217.54 = 7,896.42/x
  3. Step 3: Cross multiply
    23,478.84x = 35,217.54 × 7,896.42
  4. Step 4: Simplify right side
    23,478.84x = 278,092,487.21
  5. Step 5: Solve for x
    x = 278,092,487.21/23,478.84
  6. Step 6: Final answer
    x = 11,844.39

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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.