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Finding the Fourth Proportional to 8,561.82, 11,814.07 and 5,024.22

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Solution

The fourth proportional to 8,561.82, 11,814.07 and 5,024.22 is: 6,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.82 : 11,814.07 = 5,024.22 : x
  2. Step 2: Convert to fraction form
    8,561.82/11,814.07 = 5,024.22/x
  3. Step 3: Cross multiply
    8,561.82x = 11,814.07 × 5,024.22
  4. Step 4: Simplify right side
    8,561.82x = 59,356,486.78
  5. Step 5: Solve for x
    x = 59,356,486.78/8,561.82
  6. Step 6: Final answer
    x = 6,932.70

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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.