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Finding the Fourth Proportional to 6,492.17, 8,949.87 and 4,625.93

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Solution

The fourth proportional to 6,492.17, 8,949.87 and 4,625.93 is: 6,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.17 : 8,949.87 = 4,625.93 : x
  2. Step 2: Convert to fraction form
    6,492.17/8,949.87 = 4,625.93/x
  3. Step 3: Cross multiply
    6,492.17x = 8,949.87 × 4,625.93
  4. Step 4: Simplify right side
    6,492.17x = 41,401,472.13
  5. Step 5: Solve for x
    x = 41,401,472.13/6,492.17
  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.