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Finding the Fourth Proportional to 7,604.80, 11,406.06 and 2,410

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Solution

The fourth proportional to 7,604.80, 11,406.06 and 2,410 is: 3,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.80 : 11,406.06 = 2,410 : x
  2. Step 2: Convert to fraction form
    7,604.80/11,406.06 = 2,410/x
  3. Step 3: Cross multiply
    7,604.80x = 11,406.06 × 2,410
  4. Step 4: Simplify right side
    7,604.80x = 27,488,604.60
  5. Step 5: Solve for x
    x = 27,488,604.60/7,604.80
  6. Step 6: Final answer
    x = 3,614.64

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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.