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Finding the Fourth Proportional to 9,982.19, 13,772.88 and 7,324.98

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Solution

The fourth proportional to 9,982.19, 13,772.88 and 7,324.98 is: 10,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.19 : 13,772.88 = 7,324.98 : x
  2. Step 2: Convert to fraction form
    9,982.19/13,772.88 = 7,324.98/x
  3. Step 3: Cross multiply
    9,982.19x = 13,772.88 × 7,324.98
  4. Step 4: Simplify right side
    9,982.19x = 100,886,070.54
  5. Step 5: Solve for x
    x = 100,886,070.54/9,982.19
  6. Step 6: Final answer
    x = 10,106.61

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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.