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Finding the Fourth Proportional to 7,604.67, 11,407.41 and 2,410.95

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Solution

The fourth proportional to 7,604.67, 11,407.41 and 2,410.95 is: 3,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.67 : 11,407.41 = 2,410.95 : x
  2. Step 2: Convert to fraction form
    7,604.67/11,407.41 = 2,410.95/x
  3. Step 3: Cross multiply
    7,604.67x = 11,407.41 × 2,410.95
  4. Step 4: Simplify right side
    7,604.67x = 27,502,695.14
  5. Step 5: Solve for x
    x = 27,502,695.14/7,604.67
  6. Step 6: Final answer
    x = 3,616.55

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1.5x scale

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.