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Finding the Fourth Proportional to 12,175.73, 16,802.55 and 6,586.73

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Solution

The fourth proportional to 12,175.73, 16,802.55 and 6,586.73 is: 9,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.73 : 16,802.55 = 6,586.73 : x
  2. Step 2: Convert to fraction form
    12,175.73/16,802.55 = 6,586.73/x
  3. Step 3: Cross multiply
    12,175.73x = 16,802.55 × 6,586.73
  4. Step 4: Simplify right side
    12,175.73x = 110,673,860.16
  5. Step 5: Solve for x
    x = 110,673,860.16/12,175.73
  6. Step 6: Final answer
    x = 9,089.71

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Half scale
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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.