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Finding the Fourth Proportional to 34,197, 51,298.38 and 9,573

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Solution

The fourth proportional to 34,197, 51,298.38 and 9,573 is: 14,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,197 : 51,298.38 = 9,573 : x
  2. Step 2: Convert to fraction form
    34,197/51,298.38 = 9,573/x
  3. Step 3: Cross multiply
    34,197x = 51,298.38 × 9,573
  4. Step 4: Simplify right side
    34,197x = 491,079,391.74
  5. Step 5: Solve for x
    x = 491,079,391.74/34,197
  6. Step 6: Final answer
    x = 14,360.31

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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.