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Finding the Fourth Proportional to 6,151.44, 8,480 and 4,892.96

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Solution

The fourth proportional to 6,151.44, 8,480 and 4,892.96 is: 6,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.44 : 8,480 = 4,892.96 : x
  2. Step 2: Convert to fraction form
    6,151.44/8,480 = 4,892.96/x
  3. Step 3: Cross multiply
    6,151.44x = 8,480 × 4,892.96
  4. Step 4: Simplify right side
    6,151.44x = 41,492,300.80
  5. Step 5: Solve for x
    x = 41,492,300.80/6,151.44
  6. Step 6: Final answer
    x = 6,745.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.