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Finding the Fourth Proportional to 6,957, 10,434.69 and 1,762.92

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Solution

The fourth proportional to 6,957, 10,434.69 and 1,762.92 is: 2,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957 : 10,434.69 = 1,762.92 : x
  2. Step 2: Convert to fraction form
    6,957/10,434.69 = 1,762.92/x
  3. Step 3: Cross multiply
    6,957x = 10,434.69 × 1,762.92
  4. Step 4: Simplify right side
    6,957x = 18,395,523.69
  5. Step 5: Solve for x
    x = 18,395,523.69/6,957
  6. Step 6: Final answer
    x = 2,644.17

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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.