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Finding the Fourth Proportional to 8,194.01, 11,311.58 and 6,404.08

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Solution

The fourth proportional to 8,194.01, 11,311.58 and 6,404.08 is: 8,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.01 : 11,311.58 = 6,404.08 : x
  2. Step 2: Convert to fraction form
    8,194.01/11,311.58 = 6,404.08/x
  3. Step 3: Cross multiply
    8,194.01x = 11,311.58 × 6,404.08
  4. Step 4: Simplify right side
    8,194.01x = 72,440,263.25
  5. Step 5: Solve for x
    x = 72,440,263.25/8,194.01
  6. Step 6: Final answer
    x = 8,840.64

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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.