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Finding the Fourth Proportional to 9,170.17, 13,684.99 and 8,186.02

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Solution

The fourth proportional to 9,170.17, 13,684.99 and 8,186.02 is: 12,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.17 : 13,684.99 = 8,186.02 : x
  2. Step 2: Convert to fraction form
    9,170.17/13,684.99 = 8,186.02/x
  3. Step 3: Cross multiply
    9,170.17x = 13,684.99 × 8,186.02
  4. Step 4: Simplify right side
    9,170.17x = 112,025,601.84
  5. Step 5: Solve for x
    x = 112,025,601.84/9,170.17
  6. Step 6: Final answer
    x = 12,216.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.