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Finding the Fourth Proportional to 10,524.94, 14,524.41 and 5,809.22

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Solution

The fourth proportional to 10,524.94, 14,524.41 and 5,809.22 is: 8,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.94 : 14,524.41 = 5,809.22 : x
  2. Step 2: Convert to fraction form
    10,524.94/14,524.41 = 5,809.22/x
  3. Step 3: Cross multiply
    10,524.94x = 14,524.41 × 5,809.22
  4. Step 4: Simplify right side
    10,524.94x = 84,375,496.69
  5. Step 5: Solve for x
    x = 84,375,496.69/10,524.94
  6. Step 6: Final answer
    x = 8,016.72

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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.