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Finding the Fourth Proportional to 6,328.46, 9,492.73 and 4,150.98

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Solution

The fourth proportional to 6,328.46, 9,492.73 and 4,150.98 is: 6,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.46 : 9,492.73 = 4,150.98 : x
  2. Step 2: Convert to fraction form
    6,328.46/9,492.73 = 4,150.98/x
  3. Step 3: Cross multiply
    6,328.46x = 9,492.73 × 4,150.98
  4. Step 4: Simplify right side
    6,328.46x = 39,404,111.62
  5. Step 5: Solve for x
    x = 39,404,111.62/6,328.46
  6. Step 6: Final answer
    x = 6,226.49

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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.