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Finding the Fourth Proportional to 7,596, 11,393.64 and 2,401.20

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Solution

The fourth proportional to 7,596, 11,393.64 and 2,401.20 is: 3,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596 : 11,393.64 = 2,401.20 : x
  2. Step 2: Convert to fraction form
    7,596/11,393.64 = 2,401.20/x
  3. Step 3: Cross multiply
    7,596x = 11,393.64 × 2,401.20
  4. Step 4: Simplify right side
    7,596x = 27,358,408.37
  5. Step 5: Solve for x
    x = 27,358,408.37/7,596
  6. Step 6: Final answer
    x = 3,601.69

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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.