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Finding the Fourth Proportional to 12,175.20, 16,801.64 and 6,586.20

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Solution

The fourth proportional to 12,175.20, 16,801.64 and 6,586.20 is: 9,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.20 : 16,801.64 = 6,586.20 : x
  2. Step 2: Convert to fraction form
    12,175.20/16,801.64 = 6,586.20/x
  3. Step 3: Cross multiply
    12,175.20x = 16,801.64 × 6,586.20
  4. Step 4: Simplify right side
    12,175.20x = 110,658,961.37
  5. Step 5: Solve for x
    x = 110,658,961.37/12,175.20
  6. Step 6: Final answer
    x = 9,088.88

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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.