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Finding the Fourth Proportional to 12,202.65, 16,846.89 and 7,730.22

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Solution

The fourth proportional to 12,202.65, 16,846.89 and 7,730.22 is: 10,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.65 : 16,846.89 = 7,730.22 : x
  2. Step 2: Convert to fraction form
    12,202.65/16,846.89 = 7,730.22/x
  3. Step 3: Cross multiply
    12,202.65x = 16,846.89 × 7,730.22
  4. Step 4: Simplify right side
    12,202.65x = 130,230,166.02
  5. Step 5: Solve for x
    x = 130,230,166.02/12,202.65
  6. Step 6: Final answer
    x = 10,672.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.