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Finding the Fourth Proportional to 7,049.64, 9,703.96 and 6,207.65

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Solution

The fourth proportional to 7,049.64, 9,703.96 and 6,207.65 is: 8,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.64 : 9,703.96 = 6,207.65 : x
  2. Step 2: Convert to fraction form
    7,049.64/9,703.96 = 6,207.65/x
  3. Step 3: Cross multiply
    7,049.64x = 9,703.96 × 6,207.65
  4. Step 4: Simplify right side
    7,049.64x = 60,238,723.26
  5. Step 5: Solve for x
    x = 60,238,723.26/7,049.64
  6. Step 6: Final answer
    x = 8,544.94

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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.