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Finding the Fourth Proportional to 9,184, 13,775.64 and 2,610.04

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Solution

The fourth proportional to 9,184, 13,775.64 and 2,610.04 is: 3,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184 : 13,775.64 = 2,610.04 : x
  2. Step 2: Convert to fraction form
    9,184/13,775.64 = 2,610.04/x
  3. Step 3: Cross multiply
    9,184x = 13,775.64 × 2,610.04
  4. Step 4: Simplify right side
    9,184x = 35,954,971.43
  5. Step 5: Solve for x
    x = 35,954,971.43/9,184
  6. Step 6: Final answer
    x = 3,914.96

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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.