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Finding the Fourth Proportional to 4,926.38, 7,389.56 and 1,463.63

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Solution

The fourth proportional to 4,926.38, 7,389.56 and 1,463.63 is: 2,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.38 : 7,389.56 = 1,463.63 : x
  2. Step 2: Convert to fraction form
    4,926.38/7,389.56 = 1,463.63/x
  3. Step 3: Cross multiply
    4,926.38x = 7,389.56 × 1,463.63
  4. Step 4: Simplify right side
    4,926.38x = 10,815,548.41
  5. Step 5: Solve for x
    x = 10,815,548.41/4,926.38
  6. Step 6: Final answer
    x = 2,195.44

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Similar ratio
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1.5x scale

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.