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Finding the Fourth Proportional to 13,234.25, 19,842.87 and 6,204.87

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Solution

The fourth proportional to 13,234.25, 19,842.87 and 6,204.87 is: 9,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.25 : 19,842.87 = 6,204.87 : x
  2. Step 2: Convert to fraction form
    13,234.25/19,842.87 = 6,204.87/x
  3. Step 3: Cross multiply
    13,234.25x = 19,842.87 × 6,204.87
  4. Step 4: Simplify right side
    13,234.25x = 123,122,452.05
  5. Step 5: Solve for x
    x = 123,122,452.05/13,234.25
  6. Step 6: Final answer
    x = 9,303.32

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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.