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Finding the Fourth Proportional to 12,175.09, 16,801.49 and 6,869.93

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Solution

The fourth proportional to 12,175.09, 16,801.49 and 6,869.93 is: 9,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.09 : 16,801.49 = 6,869.93 : x
  2. Step 2: Convert to fraction form
    12,175.09/16,801.49 = 6,869.93/x
  3. Step 3: Cross multiply
    12,175.09x = 16,801.49 × 6,869.93
  4. Step 4: Simplify right side
    12,175.09x = 115,424,976.19
  5. Step 5: Solve for x
    x = 115,424,976.19/12,175.09
  6. Step 6: Final answer
    x = 9,480.42

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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.