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Finding the Fourth Proportional to 6,136.32, 9,193.86 and 4,828.53

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Solution

The fourth proportional to 6,136.32, 9,193.86 and 4,828.53 is: 7,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.32 : 9,193.86 = 4,828.53 : x
  2. Step 2: Convert to fraction form
    6,136.32/9,193.86 = 4,828.53/x
  3. Step 3: Cross multiply
    6,136.32x = 9,193.86 × 4,828.53
  4. Step 4: Simplify right side
    6,136.32x = 44,392,828.83
  5. Step 5: Solve for x
    x = 44,392,828.83/6,136.32
  6. Step 6: Final answer
    x = 7,234.44

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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.