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Finding the Fourth Proportional to 9,794.86, 13,523.94 and 6,023.09

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Solution

The fourth proportional to 9,794.86, 13,523.94 and 6,023.09 is: 8,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.86 : 13,523.94 = 6,023.09 : x
  2. Step 2: Convert to fraction form
    9,794.86/13,523.94 = 6,023.09/x
  3. Step 3: Cross multiply
    9,794.86x = 13,523.94 × 6,023.09
  4. Step 4: Simplify right side
    9,794.86x = 81,455,924.64
  5. Step 5: Solve for x
    x = 81,455,924.64/9,794.86
  6. Step 6: Final answer
    x = 8,316.19

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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.