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Finding the Fourth Proportional to 6,504.84, 8,976.42 and 3,853.44

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Solution

The fourth proportional to 6,504.84, 8,976.42 and 3,853.44 is: 5,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.84 : 8,976.42 = 3,853.44 : x
  2. Step 2: Convert to fraction form
    6,504.84/8,976.42 = 3,853.44/x
  3. Step 3: Cross multiply
    6,504.84x = 8,976.42 × 3,853.44
  4. Step 4: Simplify right side
    6,504.84x = 34,590,095.88
  5. Step 5: Solve for x
    x = 34,590,095.88/6,504.84
  6. Step 6: Final answer
    x = 5,317.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.