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Finding the Fourth Proportional to 6,937.46, 9,573.72 and 3,793.64

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Solution

The fourth proportional to 6,937.46, 9,573.72 and 3,793.64 is: 5,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.46 : 9,573.72 = 3,793.64 : x
  2. Step 2: Convert to fraction form
    6,937.46/9,573.72 = 3,793.64/x
  3. Step 3: Cross multiply
    6,937.46x = 9,573.72 × 3,793.64
  4. Step 4: Simplify right side
    6,937.46x = 36,319,247.14
  5. Step 5: Solve for x
    x = 36,319,247.14/6,937.46
  6. Step 6: Final answer
    x = 5,235.24

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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.