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Finding the Fourth Proportional to 12,582.84, 17,383.16 and 8,286.15

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Solution

The fourth proportional to 12,582.84, 17,383.16 and 8,286.15 is: 11,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.84 : 17,383.16 = 8,286.15 : x
  2. Step 2: Convert to fraction form
    12,582.84/17,383.16 = 8,286.15/x
  3. Step 3: Cross multiply
    12,582.84x = 17,383.16 × 8,286.15
  4. Step 4: Simplify right side
    12,582.84x = 144,039,412.75
  5. Step 5: Solve for x
    x = 144,039,412.75/12,582.84
  6. Step 6: Final answer
    x = 11,447.29

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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.