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Finding the Fourth Proportional to 6,967.32, 9,614.86 and 3,823.44

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Solution

The fourth proportional to 6,967.32, 9,614.86 and 3,823.44 is: 5,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.32 : 9,614.86 = 3,823.44 : x
  2. Step 2: Convert to fraction form
    6,967.32/9,614.86 = 3,823.44/x
  3. Step 3: Cross multiply
    6,967.32x = 9,614.86 × 3,823.44
  4. Step 4: Simplify right side
    6,967.32x = 36,761,840.32
  5. Step 5: Solve for x
    x = 36,761,840.32/6,967.32
  6. Step 6: Final answer
    x = 5,276.32

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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.