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Finding the Fourth Proportional to 6,674.68, 10,009.62 and 2,291

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Solution

The fourth proportional to 6,674.68, 10,009.62 and 2,291 is: 3,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.68 : 10,009.62 = 2,291 : x
  2. Step 2: Convert to fraction form
    6,674.68/10,009.62 = 2,291/x
  3. Step 3: Cross multiply
    6,674.68x = 10,009.62 × 2,291
  4. Step 4: Simplify right side
    6,674.68x = 22,932,039.42
  5. Step 5: Solve for x
    x = 22,932,039.42/6,674.68
  6. Step 6: Final answer
    x = 3,435.68

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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.