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Finding the Fourth Proportional to 7,551.80, 11,372.94 and 6,878.44

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Solution

The fourth proportional to 7,551.80, 11,372.94 and 6,878.44 is: 10,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.80 : 11,372.94 = 6,878.44 : x
  2. Step 2: Convert to fraction form
    7,551.80/11,372.94 = 6,878.44/x
  3. Step 3: Cross multiply
    7,551.80x = 11,372.94 × 6,878.44
  4. Step 4: Simplify right side
    7,551.80x = 78,228,085.41
  5. Step 5: Solve for x
    x = 78,228,085.41/7,551.80
  6. Step 6: Final answer
    x = 10,358.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.