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Finding the Fourth Proportional to 22,846.42, 34,269.63 and 6,206.46

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Solution

The fourth proportional to 22,846.42, 34,269.63 and 6,206.46 is: 9,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.42 : 34,269.63 = 6,206.46 : x
  2. Step 2: Convert to fraction form
    22,846.42/34,269.63 = 6,206.46/x
  3. Step 3: Cross multiply
    22,846.42x = 34,269.63 × 6,206.46
  4. Step 4: Simplify right side
    22,846.42x = 212,693,087.81
  5. Step 5: Solve for x
    x = 212,693,087.81/22,846.42
  6. Step 6: Final answer
    x = 9,309.69

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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.