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Finding the Fourth Proportional to 11,471.94, 17,209.13 and 4,077.09

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Solution

The fourth proportional to 11,471.94, 17,209.13 and 4,077.09 is: 6,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.94 : 17,209.13 = 4,077.09 : x
  2. Step 2: Convert to fraction form
    11,471.94/17,209.13 = 4,077.09/x
  3. Step 3: Cross multiply
    11,471.94x = 17,209.13 × 4,077.09
  4. Step 4: Simplify right side
    11,471.94x = 70,163,151.45
  5. Step 5: Solve for x
    x = 70,163,151.45/11,471.94
  6. Step 6: Final answer
    x = 6,116.07

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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.