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Finding the Fourth Proportional to 13,150, 19,734.72 and 6,224.50

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Solution

The fourth proportional to 13,150, 19,734.72 and 6,224.50 is: 9,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150 : 19,734.72 = 6,224.50 : x
  2. Step 2: Convert to fraction form
    13,150/19,734.72 = 6,224.50/x
  3. Step 3: Cross multiply
    13,150x = 19,734.72 × 6,224.50
  4. Step 4: Simplify right side
    13,150x = 122,838,764.64
  5. Step 5: Solve for x
    x = 122,838,764.64/13,150
  6. Step 6: Final answer
    x = 9,341.35

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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.