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Finding the Fourth Proportional to 7,684.64, 10,604.24 and 4,540.24

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Solution

The fourth proportional to 7,684.64, 10,604.24 and 4,540.24 is: 6,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.64 : 10,604.24 = 4,540.24 : x
  2. Step 2: Convert to fraction form
    7,684.64/10,604.24 = 4,540.24/x
  3. Step 3: Cross multiply
    7,684.64x = 10,604.24 × 4,540.24
  4. Step 4: Simplify right side
    7,684.64x = 48,145,794.62
  5. Step 5: Solve for x
    x = 48,145,794.62/7,684.64
  6. Step 6: Final answer
    x = 6,265.20

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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.