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Finding the Fourth Proportional to 12,175.23, 16,801.86 and 6,586.23

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Solution

The fourth proportional to 12,175.23, 16,801.86 and 6,586.23 is: 9,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.23 : 16,801.86 = 6,586.23 : x
  2. Step 2: Convert to fraction form
    12,175.23/16,801.86 = 6,586.23/x
  3. Step 3: Cross multiply
    12,175.23x = 16,801.86 × 6,586.23
  4. Step 4: Simplify right side
    12,175.23x = 110,660,914.39
  5. Step 5: Solve for x
    x = 110,660,914.39/12,175.23
  6. Step 6: Final answer
    x = 9,089.02

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Half scale
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Double 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.