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Finding the Fourth Proportional to 9,384.54, 12,948.62 and 5,982.84

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Solution

The fourth proportional to 9,384.54, 12,948.62 and 5,982.84 is: 8,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.54 : 12,948.62 = 5,982.84 : x
  2. Step 2: Convert to fraction form
    9,384.54/12,948.62 = 5,982.84/x
  3. Step 3: Cross multiply
    9,384.54x = 12,948.62 × 5,982.84
  4. Step 4: Simplify right side
    9,384.54x = 77,469,521.68
  5. Step 5: Solve for x
    x = 77,469,521.68/9,384.54
  6. Step 6: Final answer
    x = 8,255.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.