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Finding the Fourth Proportional to 9,102.66, 13,653.99 and 2,863.23

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Solution

The fourth proportional to 9,102.66, 13,653.99 and 2,863.23 is: 4,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.66 : 13,653.99 = 2,863.23 : x
  2. Step 2: Convert to fraction form
    9,102.66/13,653.99 = 2,863.23/x
  3. Step 3: Cross multiply
    9,102.66x = 13,653.99 × 2,863.23
  4. Step 4: Simplify right side
    9,102.66x = 39,094,513.79
  5. Step 5: Solve for x
    x = 39,094,513.79/9,102.66
  6. Step 6: Final answer
    x = 4,294.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.