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Finding the Fourth Proportional to 6,274.93, 9,411.90 and 2,324.33

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Solution

The fourth proportional to 6,274.93, 9,411.90 and 2,324.33 is: 3,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.93 : 9,411.90 = 2,324.33 : x
  2. Step 2: Convert to fraction form
    6,274.93/9,411.90 = 2,324.33/x
  3. Step 3: Cross multiply
    6,274.93x = 9,411.90 × 2,324.33
  4. Step 4: Simplify right side
    6,274.93x = 21,876,361.53
  5. Step 5: Solve for x
    x = 21,876,361.53/6,274.93
  6. Step 6: Final answer
    x = 3,486.31

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1.5x scale

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.