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Finding the Fourth Proportional to 20,235.78, 30,358.50 and 6,384.78

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Solution

The fourth proportional to 20,235.78, 30,358.50 and 6,384.78 is: 9,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.78 : 30,358.50 = 6,384.78 : x
  2. Step 2: Convert to fraction form
    20,235.78/30,358.50 = 6,384.78/x
  3. Step 3: Cross multiply
    20,235.78x = 30,358.50 × 6,384.78
  4. Step 4: Simplify right side
    20,235.78x = 193,832,343.63
  5. Step 5: Solve for x
    x = 193,832,343.63/20,235.78
  6. Step 6: Final answer
    x = 9,578.69

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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.