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Finding the Fourth Proportional to 6,051.62, 9,078 and 2,354.13

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Solution

The fourth proportional to 6,051.62, 9,078 and 2,354.13 is: 3,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.62 : 9,078 = 2,354.13 : x
  2. Step 2: Convert to fraction form
    6,051.62/9,078 = 2,354.13/x
  3. Step 3: Cross multiply
    6,051.62x = 9,078 × 2,354.13
  4. Step 4: Simplify right side
    6,051.62x = 21,370,792.14
  5. Step 5: Solve for x
    x = 21,370,792.14/6,051.62
  6. Step 6: Final answer
    x = 3,531.42

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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.