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Finding the Fourth Proportional to 7,596.36, 11,376.18 and 5,839.20

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Solution

The fourth proportional to 7,596.36, 11,376.18 and 5,839.20 is: 8,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.36 : 11,376.18 = 5,839.20 : x
  2. Step 2: Convert to fraction form
    7,596.36/11,376.18 = 5,839.20/x
  3. Step 3: Cross multiply
    7,596.36x = 11,376.18 × 5,839.20
  4. Step 4: Simplify right side
    7,596.36x = 66,427,790.26
  5. Step 5: Solve for x
    x = 66,427,790.26/7,596.36
  6. Step 6: Final answer
    x = 8,744.69

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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.