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Finding the Fourth Proportional to 6,608.64, 9,913.60 and 4,007.68

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Solution

The fourth proportional to 6,608.64, 9,913.60 and 4,007.68 is: 6,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.64 : 9,913.60 = 4,007.68 : x
  2. Step 2: Convert to fraction form
    6,608.64/9,913.60 = 4,007.68/x
  3. Step 3: Cross multiply
    6,608.64x = 9,913.60 × 4,007.68
  4. Step 4: Simplify right side
    6,608.64x = 39,730,536.45
  5. Step 5: Solve for x
    x = 39,730,536.45/6,608.64
  6. Step 6: Final answer
    x = 6,011.91

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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.