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Finding the Fourth Proportional to 6,316.00, 9,463.50 and 3,843.34

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Solution

The fourth proportional to 6,316.00, 9,463.50 and 3,843.34 is: 5,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.00 : 9,463.50 = 3,843.34 : x
  2. Step 2: Convert to fraction form
    6,316.00/9,463.50 = 3,843.34/x
  3. Step 3: Cross multiply
    6,316.00x = 9,463.50 × 3,843.34
  4. Step 4: Simplify right side
    6,316.00x = 36,371,424.43
  5. Step 5: Solve for x
    x = 36,371,424.43/6,316.00
  6. Step 6: Final answer
    x = 5,758.62

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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.