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Finding the Fourth Proportional to 4,466.62, 6,699.94 and 2,156.50

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Solution

The fourth proportional to 4,466.62, 6,699.94 and 2,156.50 is: 3,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.62 : 6,699.94 = 2,156.50 : x
  2. Step 2: Convert to fraction form
    4,466.62/6,699.94 = 2,156.50/x
  3. Step 3: Cross multiply
    4,466.62x = 6,699.94 × 2,156.50
  4. Step 4: Simplify right side
    4,466.62x = 14,448,420.61
  5. Step 5: Solve for x
    x = 14,448,420.61/4,466.62
  6. Step 6: Final answer
    x = 3,234.75

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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.