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Finding the Fourth Proportional to 12,083.16, 16,684.20 and 7,836.24

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Solution

The fourth proportional to 12,083.16, 16,684.20 and 7,836.24 is: 10,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.16 : 16,684.20 = 7,836.24 : x
  2. Step 2: Convert to fraction form
    12,083.16/16,684.20 = 7,836.24/x
  3. Step 3: Cross multiply
    12,083.16x = 16,684.20 × 7,836.24
  4. Step 4: Simplify right side
    12,083.16x = 130,741,395.41
  5. Step 5: Solve for x
    x = 130,741,395.41/12,083.16
  6. Step 6: Final answer
    x = 10,820.13

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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.