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Finding the Fourth Proportional to 4,663, 6,995.46 and 1,927

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Solution

The fourth proportional to 4,663, 6,995.46 and 1,927 is: 2,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663 : 6,995.46 = 1,927 : x
  2. Step 2: Convert to fraction form
    4,663/6,995.46 = 1,927/x
  3. Step 3: Cross multiply
    4,663x = 6,995.46 × 1,927
  4. Step 4: Simplify right side
    4,663x = 13,480,251.42
  5. Step 5: Solve for x
    x = 13,480,251.42/4,663
  6. Step 6: Final answer
    x = 2,890.90

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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.