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Finding the Fourth Proportional to 6,812.16, 10,214.04 and 6,232.02

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Solution

The fourth proportional to 6,812.16, 10,214.04 and 6,232.02 is: 9,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.16 : 10,214.04 = 6,232.02 : x
  2. Step 2: Convert to fraction form
    6,812.16/10,214.04 = 6,232.02/x
  3. Step 3: Cross multiply
    6,812.16x = 10,214.04 × 6,232.02
  4. Step 4: Simplify right side
    6,812.16x = 63,654,101.56
  5. Step 5: Solve for x
    x = 63,654,101.56/6,812.16
  6. Step 6: Final answer
    x = 9,344.19

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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.