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Finding the Fourth Proportional to 12,175.22, 16,801.76 and 6,586.22

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Solution

The fourth proportional to 12,175.22, 16,801.76 and 6,586.22 is: 9,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.22 : 16,801.76 = 6,586.22 : x
  2. Step 2: Convert to fraction form
    12,175.22/16,801.76 = 6,586.22/x
  3. Step 3: Cross multiply
    12,175.22x = 16,801.76 × 6,586.22
  4. Step 4: Simplify right side
    12,175.22x = 110,660,087.75
  5. Step 5: Solve for x
    x = 110,660,087.75/12,175.22
  6. Step 6: Final answer
    x = 9,088.96

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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.