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Finding the Fourth Proportional to 7,655, 11,484.42 and 2,183

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Solution

The fourth proportional to 7,655, 11,484.42 and 2,183 is: 3,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655 : 11,484.42 = 2,183 : x
  2. Step 2: Convert to fraction form
    7,655/11,484.42 = 2,183/x
  3. Step 3: Cross multiply
    7,655x = 11,484.42 × 2,183
  4. Step 4: Simplify right side
    7,655x = 25,070,488.86
  5. Step 5: Solve for x
    x = 25,070,488.86/7,655
  6. Step 6: Final answer
    x = 3,275.05

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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.