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Finding the Fourth Proportional to 12,323, 17,005.74 and 6,734

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Solution

The fourth proportional to 12,323, 17,005.74 and 6,734 is: 9,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323 : 17,005.74 = 6,734 : x
  2. Step 2: Convert to fraction form
    12,323/17,005.74 = 6,734/x
  3. Step 3: Cross multiply
    12,323x = 17,005.74 × 6,734
  4. Step 4: Simplify right side
    12,323x = 114,516,653.16
  5. Step 5: Solve for x
    x = 114,516,653.16/12,323
  6. Step 6: Final answer
    x = 9,292.92

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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.