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Finding the Fourth Proportional to 8,523.74, 11,759.64 and 5,164.13

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Solution

The fourth proportional to 8,523.74, 11,759.64 and 5,164.13 is: 7,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.74 : 11,759.64 = 5,164.13 : x
  2. Step 2: Convert to fraction form
    8,523.74/11,759.64 = 5,164.13/x
  3. Step 3: Cross multiply
    8,523.74x = 11,759.64 × 5,164.13
  4. Step 4: Simplify right side
    8,523.74x = 60,728,309.71
  5. Step 5: Solve for x
    x = 60,728,309.71/8,523.74
  6. Step 6: Final answer
    x = 7,124.61

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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.