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Finding the Fourth Proportional to 13,069, 19,606.74 and 3,835

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Solution

The fourth proportional to 13,069, 19,606.74 and 3,835 is: 5,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069 : 19,606.74 = 3,835 : x
  2. Step 2: Convert to fraction form
    13,069/19,606.74 = 3,835/x
  3. Step 3: Cross multiply
    13,069x = 19,606.74 × 3,835
  4. Step 4: Simplify right side
    13,069x = 75,191,847.90
  5. Step 5: Solve for x
    x = 75,191,847.90/13,069
  6. Step 6: Final answer
    x = 5,753.45

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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.