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Finding the Fourth Proportional to 8,108.84, 12,166.00 and 8,054.17

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Solution

The fourth proportional to 8,108.84, 12,166.00 and 8,054.17 is: 12,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.84 : 12,166.00 = 8,054.17 : x
  2. Step 2: Convert to fraction form
    8,108.84/12,166.00 = 8,054.17/x
  3. Step 3: Cross multiply
    8,108.84x = 12,166.00 × 8,054.17
  4. Step 4: Simplify right side
    8,108.84x = 97,986,966.57
  5. Step 5: Solve for x
    x = 97,986,966.57/8,108.84
  6. Step 6: Final answer
    x = 12,083.96

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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.