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Finding the Fourth Proportional to 13,203.98, 19,807 and 3,844.12

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Solution

The fourth proportional to 13,203.98, 19,807 and 3,844.12 is: 5,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.98 : 19,807 = 3,844.12 : x
  2. Step 2: Convert to fraction form
    13,203.98/19,807 = 3,844.12/x
  3. Step 3: Cross multiply
    13,203.98x = 19,807 × 3,844.12
  4. Step 4: Simplify right side
    13,203.98x = 76,140,484.84
  5. Step 5: Solve for x
    x = 76,140,484.84/13,203.98
  6. Step 6: Final answer
    x = 5,766.48

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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.