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Finding the Fourth Proportional to 6,991.60, 10,478.08 and 2,604.64

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Solution

The fourth proportional to 6,991.60, 10,478.08 and 2,604.64 is: 3,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.60 : 10,478.08 = 2,604.64 : x
  2. Step 2: Convert to fraction form
    6,991.60/10,478.08 = 2,604.64/x
  3. Step 3: Cross multiply
    6,991.60x = 10,478.08 × 2,604.64
  4. Step 4: Simplify right side
    6,991.60x = 27,291,626.29
  5. Step 5: Solve for x
    x = 27,291,626.29/6,991.60
  6. Step 6: Final answer
    x = 3,903.49

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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.