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Finding the Fourth Proportional to 8,329.84, 12,496.65 and 2,486.23

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Solution

The fourth proportional to 8,329.84, 12,496.65 and 2,486.23 is: 3,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.84 : 12,496.65 = 2,486.23 : x
  2. Step 2: Convert to fraction form
    8,329.84/12,496.65 = 2,486.23/x
  3. Step 3: Cross multiply
    8,329.84x = 12,496.65 × 2,486.23
  4. Step 4: Simplify right side
    8,329.84x = 31,069,546.13
  5. Step 5: Solve for x
    x = 31,069,546.13/8,329.84
  6. Step 6: Final answer
    x = 3,729.91

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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.