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Finding the Fourth Proportional to 6,249, 9,374.04 and 1,632

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Solution

The fourth proportional to 6,249, 9,374.04 and 1,632 is: 2,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249 : 9,374.04 = 1,632 : x
  2. Step 2: Convert to fraction form
    6,249/9,374.04 = 1,632/x
  3. Step 3: Cross multiply
    6,249x = 9,374.04 × 1,632
  4. Step 4: Simplify right side
    6,249x = 15,298,433.28
  5. Step 5: Solve for x
    x = 15,298,433.28/6,249
  6. Step 6: Final answer
    x = 2,448.14

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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.