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Finding the Fourth Proportional to 6,731.32, 9,297 and 4,489.30

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Solution

The fourth proportional to 6,731.32, 9,297 and 4,489.30 is: 6,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.32 : 9,297 = 4,489.30 : x
  2. Step 2: Convert to fraction form
    6,731.32/9,297 = 4,489.30/x
  3. Step 3: Cross multiply
    6,731.32x = 9,297 × 4,489.30
  4. Step 4: Simplify right side
    6,731.32x = 41,737,022.10
  5. Step 5: Solve for x
    x = 41,737,022.10/6,731.32
  6. Step 6: Final answer
    x = 6,200.42

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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.