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Finding the Fourth Proportional to 8,162.01, 12,243.96 and 2,969.10

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Solution

The fourth proportional to 8,162.01, 12,243.96 and 2,969.10 is: 4,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.01 : 12,243.96 = 2,969.10 : x
  2. Step 2: Convert to fraction form
    8,162.01/12,243.96 = 2,969.10/x
  3. Step 3: Cross multiply
    8,162.01x = 12,243.96 × 2,969.10
  4. Step 4: Simplify right side
    8,162.01x = 36,353,541.64
  5. Step 5: Solve for x
    x = 36,353,541.64/8,162.01
  6. Step 6: Final answer
    x = 4,453.99

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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.