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Finding the Fourth Proportional to 12,186.64, 16,816.98 and 6,882.22

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Solution

The fourth proportional to 12,186.64, 16,816.98 and 6,882.22 is: 9,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.64 : 16,816.98 = 6,882.22 : x
  2. Step 2: Convert to fraction form
    12,186.64/16,816.98 = 6,882.22/x
  3. Step 3: Cross multiply
    12,186.64x = 16,816.98 × 6,882.22
  4. Step 4: Simplify right side
    12,186.64x = 115,738,156.10
  5. Step 5: Solve for x
    x = 115,738,156.10/12,186.64
  6. Step 6: Final answer
    x = 9,497.13

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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.