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Finding the Fourth Proportional to 6,762.14, 10,143.30 and 3,064.46

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Solution

The fourth proportional to 6,762.14, 10,143.30 and 3,064.46 is: 4,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.14 : 10,143.30 = 3,064.46 : x
  2. Step 2: Convert to fraction form
    6,762.14/10,143.30 = 3,064.46/x
  3. Step 3: Cross multiply
    6,762.14x = 10,143.30 × 3,064.46
  4. Step 4: Simplify right side
    6,762.14x = 31,083,737.12
  5. Step 5: Solve for x
    x = 31,083,737.12/6,762.14
  6. Step 6: Final answer
    x = 4,596.73

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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.