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Finding the Fourth Proportional to 13,647, 20,470.50 and 4,413

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Solution

The fourth proportional to 13,647, 20,470.50 and 4,413 is: 6,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647 : 20,470.50 = 4,413 : x
  2. Step 2: Convert to fraction form
    13,647/20,470.50 = 4,413/x
  3. Step 3: Cross multiply
    13,647x = 20,470.50 × 4,413
  4. Step 4: Simplify right side
    13,647x = 90,336,316.50
  5. Step 5: Solve for x
    x = 90,336,316.50/13,647
  6. Step 6: Final answer
    x = 6,619.50

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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.