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Finding the Fourth Proportional to 6,231, 9,346.54 and 1,614.04

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Solution

The fourth proportional to 6,231, 9,346.54 and 1,614.04 is: 2,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231 : 9,346.54 = 1,614.04 : x
  2. Step 2: Convert to fraction form
    6,231/9,346.54 = 1,614.04/x
  3. Step 3: Cross multiply
    6,231x = 9,346.54 × 1,614.04
  4. Step 4: Simplify right side
    6,231x = 15,085,689.42
  5. Step 5: Solve for x
    x = 15,085,689.42/6,231
  6. Step 6: Final answer
    x = 2,421.07

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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.