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Finding the Fourth Proportional to 11,863.10, 17,794.65 and 9,703.10

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Solution

The fourth proportional to 11,863.10, 17,794.65 and 9,703.10 is: 14,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.10 : 17,794.65 = 9,703.10 : x
  2. Step 2: Convert to fraction form
    11,863.10/17,794.65 = 9,703.10/x
  3. Step 3: Cross multiply
    11,863.10x = 17,794.65 × 9,703.10
  4. Step 4: Simplify right side
    11,863.10x = 172,663,268.42
  5. Step 5: Solve for x
    x = 172,663,268.42/11,863.10
  6. Step 6: Final answer
    x = 14,554.65

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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.