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Finding the Fourth Proportional to 6,046.84, 9,069.31 and 2,714.40

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Solution

The fourth proportional to 6,046.84, 9,069.31 and 2,714.40 is: 4,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.84 : 9,069.31 = 2,714.40 : x
  2. Step 2: Convert to fraction form
    6,046.84/9,069.31 = 2,714.40/x
  3. Step 3: Cross multiply
    6,046.84x = 9,069.31 × 2,714.40
  4. Step 4: Simplify right side
    6,046.84x = 24,617,721.49
  5. Step 5: Solve for x
    x = 24,617,721.49/6,046.84
  6. Step 6: Final answer
    x = 4,071.17

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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.