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Finding the Fourth Proportional to 6,433.32, 8,872.08 and 4,194.38

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Solution

The fourth proportional to 6,433.32, 8,872.08 and 4,194.38 is: 5,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.32 : 8,872.08 = 4,194.38 : x
  2. Step 2: Convert to fraction form
    6,433.32/8,872.08 = 4,194.38/x
  3. Step 3: Cross multiply
    6,433.32x = 8,872.08 × 4,194.38
  4. Step 4: Simplify right side
    6,433.32x = 37,212,904.96
  5. Step 5: Solve for x
    x = 37,212,904.96/6,433.32
  6. Step 6: Final answer
    x = 5,784.40

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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.