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Finding the Fourth Proportional to 6,383.40, 9,575.10 and 5,922.60

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Solution

The fourth proportional to 6,383.40, 9,575.10 and 5,922.60 is: 8,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.40 : 9,575.10 = 5,922.60 : x
  2. Step 2: Convert to fraction form
    6,383.40/9,575.10 = 5,922.60/x
  3. Step 3: Cross multiply
    6,383.40x = 9,575.10 × 5,922.60
  4. Step 4: Simplify right side
    6,383.40x = 56,709,487.26
  5. Step 5: Solve for x
    x = 56,709,487.26/6,383.40
  6. Step 6: Final answer
    x = 8,883.90

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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.