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Finding the Fourth Proportional to 6,536.40, 9,787.98 and 3,611.50

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Solution

The fourth proportional to 6,536.40, 9,787.98 and 3,611.50 is: 5,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.40 : 9,787.98 = 3,611.50 : x
  2. Step 2: Convert to fraction form
    6,536.40/9,787.98 = 3,611.50/x
  3. Step 3: Cross multiply
    6,536.40x = 9,787.98 × 3,611.50
  4. Step 4: Simplify right side
    6,536.40x = 35,349,289.77
  5. Step 5: Solve for x
    x = 35,349,289.77/6,536.40
  6. Step 6: Final answer
    x = 5,408.07

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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.