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Finding the Fourth Proportional to 6,429.80, 9,644.70 and 1,812.80

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Solution

The fourth proportional to 6,429.80, 9,644.70 and 1,812.80 is: 2,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.80 : 9,644.70 = 1,812.80 : x
  2. Step 2: Convert to fraction form
    6,429.80/9,644.70 = 1,812.80/x
  3. Step 3: Cross multiply
    6,429.80x = 9,644.70 × 1,812.80
  4. Step 4: Simplify right side
    6,429.80x = 17,483,912.16
  5. Step 5: Solve for x
    x = 17,483,912.16/6,429.80
  6. Step 6: Final answer
    x = 2,719.20

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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.