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Finding the Fourth Proportional to 6,812.96, 10,214.01 and 6,266.24

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Solution

The fourth proportional to 6,812.96, 10,214.01 and 6,266.24 is: 9,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.96 : 10,214.01 = 6,266.24 : x
  2. Step 2: Convert to fraction form
    6,812.96/10,214.01 = 6,266.24/x
  3. Step 3: Cross multiply
    6,812.96x = 10,214.01 × 6,266.24
  4. Step 4: Simplify right side
    6,812.96x = 64,003,438.02
  5. Step 5: Solve for x
    x = 64,003,438.02/6,812.96
  6. Step 6: Final answer
    x = 9,394.37

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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.