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Finding the Fourth Proportional to 12,077.84, 16,659.07 and 8,500.28

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Solution

The fourth proportional to 12,077.84, 16,659.07 and 8,500.28 is: 11,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.84 : 16,659.07 = 8,500.28 : x
  2. Step 2: Convert to fraction form
    12,077.84/16,659.07 = 8,500.28/x
  3. Step 3: Cross multiply
    12,077.84x = 16,659.07 × 8,500.28
  4. Step 4: Simplify right side
    12,077.84x = 141,606,654.99
  5. Step 5: Solve for x
    x = 141,606,654.99/12,077.84
  6. Step 6: Final answer
    x = 11,724.50

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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.