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Finding the Fourth Proportional to 12,096.92, 16,695.51 and 7,062.64

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Solution

The fourth proportional to 12,096.92, 16,695.51 and 7,062.64 is: 9,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.92 : 16,695.51 = 7,062.64 : x
  2. Step 2: Convert to fraction form
    12,096.92/16,695.51 = 7,062.64/x
  3. Step 3: Cross multiply
    12,096.92x = 16,695.51 × 7,062.64
  4. Step 4: Simplify right side
    12,096.92x = 117,914,376.75
  5. Step 5: Solve for x
    x = 117,914,376.75/12,096.92
  6. Step 6: Final answer
    x = 9,747.47

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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.