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Finding the Fourth Proportional to 6,878.49, 9,496.82 and 4,329.96

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Solution

The fourth proportional to 6,878.49, 9,496.82 and 4,329.96 is: 5,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.49 : 9,496.82 = 4,329.96 : x
  2. Step 2: Convert to fraction form
    6,878.49/9,496.82 = 4,329.96/x
  3. Step 3: Cross multiply
    6,878.49x = 9,496.82 × 4,329.96
  4. Step 4: Simplify right side
    6,878.49x = 41,120,813.76
  5. Step 5: Solve for x
    x = 41,120,813.76/6,878.49
  6. Step 6: Final answer
    x = 5,978.17

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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.