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Finding the Fourth Proportional to 9,136.82, 12,608.84 and 4,945.06

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Solution

The fourth proportional to 9,136.82, 12,608.84 and 4,945.06 is: 6,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.82 : 12,608.84 = 4,945.06 : x
  2. Step 2: Convert to fraction form
    9,136.82/12,608.84 = 4,945.06/x
  3. Step 3: Cross multiply
    9,136.82x = 12,608.84 × 4,945.06
  4. Step 4: Simplify right side
    9,136.82x = 62,351,470.33
  5. Step 5: Solve for x
    x = 62,351,470.33/9,136.82
  6. Step 6: Final answer
    x = 6,824.20

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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.