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Finding the Fourth Proportional to 12,175.29, 16,801.97 and 6,586.29

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Solution

The fourth proportional to 12,175.29, 16,801.97 and 6,586.29 is: 9,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.29 : 16,801.97 = 6,586.29 : x
  2. Step 2: Convert to fraction form
    12,175.29/16,801.97 = 6,586.29/x
  3. Step 3: Cross multiply
    12,175.29x = 16,801.97 × 6,586.29
  4. Step 4: Simplify right side
    12,175.29x = 110,662,614.06
  5. Step 5: Solve for x
    x = 110,662,614.06/12,175.29
  6. Step 6: Final answer
    x = 9,089.12

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1.5x scale

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.