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Finding the Fourth Proportional to 10,271.60, 15,404 and 3,344.48

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Solution

The fourth proportional to 10,271.60, 15,404 and 3,344.48 is: 5,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.60 : 15,404 = 3,344.48 : x
  2. Step 2: Convert to fraction form
    10,271.60/15,404 = 3,344.48/x
  3. Step 3: Cross multiply
    10,271.60x = 15,404 × 3,344.48
  4. Step 4: Simplify right side
    10,271.60x = 51,518,369.92
  5. Step 5: Solve for x
    x = 51,518,369.92/10,271.60
  6. Step 6: Final answer
    x = 5,015.61

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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.