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Finding the Fourth Proportional to 8,099.84, 12,149.08 and 2,552.38

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Solution

The fourth proportional to 8,099.84, 12,149.08 and 2,552.38 is: 3,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.84 : 12,149.08 = 2,552.38 : x
  2. Step 2: Convert to fraction form
    8,099.84/12,149.08 = 2,552.38/x
  3. Step 3: Cross multiply
    8,099.84x = 12,149.08 × 2,552.38
  4. Step 4: Simplify right side
    8,099.84x = 31,009,032.06
  5. Step 5: Solve for x
    x = 31,009,032.06/8,099.84
  6. Step 6: Final answer
    x = 3,828.35

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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.