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Finding the Fourth Proportional to 7,469.64, 10,304.10 and 4,635.24

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Solution

The fourth proportional to 7,469.64, 10,304.10 and 4,635.24 is: 6,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.64 : 10,304.10 = 4,635.24 : x
  2. Step 2: Convert to fraction form
    7,469.64/10,304.10 = 4,635.24/x
  3. Step 3: Cross multiply
    7,469.64x = 10,304.10 × 4,635.24
  4. Step 4: Simplify right side
    7,469.64x = 47,761,976.48
  5. Step 5: Solve for x
    x = 47,761,976.48/7,469.64
  6. Step 6: Final answer
    x = 6,394.15

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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.