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Finding the Fourth Proportional to 10,735.72, 16,100.34 and 6,352

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Solution

The fourth proportional to 10,735.72, 16,100.34 and 6,352 is: 9,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.72 : 16,100.34 = 6,352 : x
  2. Step 2: Convert to fraction form
    10,735.72/16,100.34 = 6,352/x
  3. Step 3: Cross multiply
    10,735.72x = 16,100.34 × 6,352
  4. Step 4: Simplify right side
    10,735.72x = 102,269,359.68
  5. Step 5: Solve for x
    x = 102,269,359.68/10,735.72
  6. Step 6: Final answer
    x = 9,526.08

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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.