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Finding the Fourth Proportional to 6,685.96, 9,223.05 and 4,324

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Solution

The fourth proportional to 6,685.96, 9,223.05 and 4,324 is: 5,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.96 : 9,223.05 = 4,324 : x
  2. Step 2: Convert to fraction form
    6,685.96/9,223.05 = 4,324/x
  3. Step 3: Cross multiply
    6,685.96x = 9,223.05 × 4,324
  4. Step 4: Simplify right side
    6,685.96x = 39,880,468.20
  5. Step 5: Solve for x
    x = 39,880,468.20/6,685.96
  6. Step 6: Final answer
    x = 5,964.81

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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.