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Finding the Fourth Proportional to 7,665.44, 11,498.62 and 2,401.44

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Solution

The fourth proportional to 7,665.44, 11,498.62 and 2,401.44 is: 3,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.44 : 11,498.62 = 2,401.44 : x
  2. Step 2: Convert to fraction form
    7,665.44/11,498.62 = 2,401.44/x
  3. Step 3: Cross multiply
    7,665.44x = 11,498.62 × 2,401.44
  4. Step 4: Simplify right side
    7,665.44x = 27,613,246.01
  5. Step 5: Solve for x
    x = 27,613,246.01/7,665.44
  6. Step 6: Final answer
    x = 3,602.30

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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.