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Finding the Fourth Proportional to 10,107, 15,160.50 and 4,635

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Solution

The fourth proportional to 10,107, 15,160.50 and 4,635 is: 6,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 15,160.50 = 4,635 : x
  2. Step 2: Convert to fraction form
    10,107/15,160.50 = 4,635/x
  3. Step 3: Cross multiply
    10,107x = 15,160.50 × 4,635
  4. Step 4: Simplify right side
    10,107x = 70,268,917.50
  5. Step 5: Solve for x
    x = 70,268,917.50/10,107
  6. Step 6: Final answer
    x = 6,952.50

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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.