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Finding the Fourth Proportional to 11,788.42, 16,269.13 and 6,751.64

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Solution

The fourth proportional to 11,788.42, 16,269.13 and 6,751.64 is: 9,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.42 : 16,269.13 = 6,751.64 : x
  2. Step 2: Convert to fraction form
    11,788.42/16,269.13 = 6,751.64/x
  3. Step 3: Cross multiply
    11,788.42x = 16,269.13 × 6,751.64
  4. Step 4: Simplify right side
    11,788.42x = 109,843,308.87
  5. Step 5: Solve for x
    x = 109,843,308.87/11,788.42
  6. Step 6: Final answer
    x = 9,317.90

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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.