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Finding the Fourth Proportional to 6,846.32, 9,451.32 and 4,330.64

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Solution

The fourth proportional to 6,846.32, 9,451.32 and 4,330.64 is: 5,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.32 : 9,451.32 = 4,330.64 : x
  2. Step 2: Convert to fraction form
    6,846.32/9,451.32 = 4,330.64/x
  3. Step 3: Cross multiply
    6,846.32x = 9,451.32 × 4,330.64
  4. Step 4: Simplify right side
    6,846.32x = 40,930,264.44
  5. Step 5: Solve for x
    x = 40,930,264.44/6,846.32
  6. Step 6: Final answer
    x = 5,978.43

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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.