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Finding the Fourth Proportional to 11,794.13, 16,280.78 and 7,077.50

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Solution

The fourth proportional to 11,794.13, 16,280.78 and 7,077.50 is: 9,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.13 : 16,280.78 = 7,077.50 : x
  2. Step 2: Convert to fraction form
    11,794.13/16,280.78 = 7,077.50/x
  3. Step 3: Cross multiply
    11,794.13x = 16,280.78 × 7,077.50
  4. Step 4: Simplify right side
    11,794.13x = 115,227,220.45
  5. Step 5: Solve for x
    x = 115,227,220.45/11,794.13
  6. Step 6: Final answer
    x = 9,769.88

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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.