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Finding the Fourth Proportional to 6,374.32, 9,551.22 and 3,454

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Solution

The fourth proportional to 6,374.32, 9,551.22 and 3,454 is: 5,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.32 : 9,551.22 = 3,454 : x
  2. Step 2: Convert to fraction form
    6,374.32/9,551.22 = 3,454/x
  3. Step 3: Cross multiply
    6,374.32x = 9,551.22 × 3,454
  4. Step 4: Simplify right side
    6,374.32x = 32,989,913.88
  5. Step 5: Solve for x
    x = 32,989,913.88/6,374.32
  6. Step 6: Final answer
    x = 5,175.44

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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.