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Finding the Fourth Proportional to 12,186.64, 16,817.43 and 6,881.32

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Solution

The fourth proportional to 12,186.64, 16,817.43 and 6,881.32 is: 9,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.64 : 16,817.43 = 6,881.32 : x
  2. Step 2: Convert to fraction form
    12,186.64/16,817.43 = 6,881.32/x
  3. Step 3: Cross multiply
    12,186.64x = 16,817.43 × 6,881.32
  4. Step 4: Simplify right side
    12,186.64x = 115,726,117.41
  5. Step 5: Solve for x
    x = 115,726,117.41/12,186.64
  6. Step 6: Final answer
    x = 9,496.15

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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.