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Finding the Fourth Proportional to 7,732.99, 11,599.69 and 3,576.48

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Solution

The fourth proportional to 7,732.99, 11,599.69 and 3,576.48 is: 5,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.99 : 11,599.69 = 3,576.48 : x
  2. Step 2: Convert to fraction form
    7,732.99/11,599.69 = 3,576.48/x
  3. Step 3: Cross multiply
    7,732.99x = 11,599.69 × 3,576.48
  4. Step 4: Simplify right side
    7,732.99x = 41,486,059.29
  5. Step 5: Solve for x
    x = 41,486,059.29/7,732.99
  6. Step 6: Final answer
    x = 5,364.81

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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.