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Finding the Fourth Proportional to 10,277.44, 15,406.90 and 3,699

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Solution

The fourth proportional to 10,277.44, 15,406.90 and 3,699 is: 5,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.44 : 15,406.90 = 3,699 : x
  2. Step 2: Convert to fraction form
    10,277.44/15,406.90 = 3,699/x
  3. Step 3: Cross multiply
    10,277.44x = 15,406.90 × 3,699
  4. Step 4: Simplify right side
    10,277.44x = 56,990,113.85
  5. Step 5: Solve for x
    x = 56,990,113.85/10,277.44
  6. Step 6: Final answer
    x = 5,545.17

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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.