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Finding the Fourth Proportional to 6,304.91, 9,442.98 and 3,020.32

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Solution

The fourth proportional to 6,304.91, 9,442.98 and 3,020.32 is: 4,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.91 : 9,442.98 = 3,020.32 : x
  2. Step 2: Convert to fraction form
    6,304.91/9,442.98 = 3,020.32/x
  3. Step 3: Cross multiply
    6,304.91x = 9,442.98 × 3,020.32
  4. Step 4: Simplify right side
    6,304.91x = 28,520,833.16
  5. Step 5: Solve for x
    x = 28,520,833.16/6,304.91
  6. Step 6: Final answer
    x = 4,523.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.