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Finding the Fourth Proportional to 10,425.60, 15,639.84 and 3,500.64

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Solution

The fourth proportional to 10,425.60, 15,639.84 and 3,500.64 is: 5,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.60 : 15,639.84 = 3,500.64 : x
  2. Step 2: Convert to fraction form
    10,425.60/15,639.84 = 3,500.64/x
  3. Step 3: Cross multiply
    10,425.60x = 15,639.84 × 3,500.64
  4. Step 4: Simplify right side
    10,425.60x = 54,749,449.50
  5. Step 5: Solve for x
    x = 54,749,449.50/10,425.60
  6. Step 6: Final answer
    x = 5,251.44

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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.