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Finding the Fourth Proportional to 11,590.01, 17,367.12 and 7,827.04

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Solution

The fourth proportional to 11,590.01, 17,367.12 and 7,827.04 is: 11,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.01 : 17,367.12 = 7,827.04 : x
  2. Step 2: Convert to fraction form
    11,590.01/17,367.12 = 7,827.04/x
  3. Step 3: Cross multiply
    11,590.01x = 17,367.12 × 7,827.04
  4. Step 4: Simplify right side
    11,590.01x = 135,933,103.79
  5. Step 5: Solve for x
    x = 135,933,103.79/11,590.01
  6. Step 6: Final answer
    x = 11,728.48

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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.