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Finding the Fourth Proportional to 6,156.50, 8,495.97 and 3,362

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Solution

The fourth proportional to 6,156.50, 8,495.97 and 3,362 is: 4,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.50 : 8,495.97 = 3,362 : x
  2. Step 2: Convert to fraction form
    6,156.50/8,495.97 = 3,362/x
  3. Step 3: Cross multiply
    6,156.50x = 8,495.97 × 3,362
  4. Step 4: Simplify right side
    6,156.50x = 28,563,451.14
  5. Step 5: Solve for x
    x = 28,563,451.14/6,156.50
  6. Step 6: Final answer
    x = 4,639.56

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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.