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Finding the Fourth Proportional to 7,022.84, 9,691.32 and 3,878.96

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Solution

The fourth proportional to 7,022.84, 9,691.32 and 3,878.96 is: 5,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.84 : 9,691.32 = 3,878.96 : x
  2. Step 2: Convert to fraction form
    7,022.84/9,691.32 = 3,878.96/x
  3. Step 3: Cross multiply
    7,022.84x = 9,691.32 × 3,878.96
  4. Step 4: Simplify right side
    7,022.84x = 37,592,242.63
  5. Step 5: Solve for x
    x = 37,592,242.63/7,022.84
  6. Step 6: Final answer
    x = 5,352.85

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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.