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Finding the Fourth Proportional to 6,492.18, 8,949.86 and 4,625.94

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Solution

The fourth proportional to 6,492.18, 8,949.86 and 4,625.94 is: 6,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.18 : 8,949.86 = 4,625.94 : x
  2. Step 2: Convert to fraction form
    6,492.18/8,949.86 = 4,625.94/x
  3. Step 3: Cross multiply
    6,492.18x = 8,949.86 × 4,625.94
  4. Step 4: Simplify right side
    6,492.18x = 41,401,515.37
  5. Step 5: Solve for x
    x = 41,401,515.37/6,492.18
  6. Step 6: Final answer
    x = 6,377.14

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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.