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Finding the Fourth Proportional to 6,712, 10,069.78 and 2,329.46

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Solution

The fourth proportional to 6,712, 10,069.78 and 2,329.46 is: 3,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712 : 10,069.78 = 2,329.46 : x
  2. Step 2: Convert to fraction form
    6,712/10,069.78 = 2,329.46/x
  3. Step 3: Cross multiply
    6,712x = 10,069.78 × 2,329.46
  4. Step 4: Simplify right side
    6,712x = 23,457,149.72
  5. Step 5: Solve for x
    x = 23,457,149.72/6,712
  6. Step 6: Final answer
    x = 3,494.81

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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.