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Finding the Fourth Proportional to 10,334, 15,501.18 and 3,675.80

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Solution

The fourth proportional to 10,334, 15,501.18 and 3,675.80 is: 5,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334 : 15,501.18 = 3,675.80 : x
  2. Step 2: Convert to fraction form
    10,334/15,501.18 = 3,675.80/x
  3. Step 3: Cross multiply
    10,334x = 15,501.18 × 3,675.80
  4. Step 4: Simplify right side
    10,334x = 56,979,237.44
  5. Step 5: Solve for x
    x = 56,979,237.44/10,334
  6. Step 6: Final answer
    x = 5,513.76

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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.