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Finding the Fourth Proportional to 4,707.72, 7,061.62 and 1,197.73

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Solution

The fourth proportional to 4,707.72, 7,061.62 and 1,197.73 is: 1,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.72 : 7,061.62 = 1,197.73 : x
  2. Step 2: Convert to fraction form
    4,707.72/7,061.62 = 1,197.73/x
  3. Step 3: Cross multiply
    4,707.72x = 7,061.62 × 1,197.73
  4. Step 4: Simplify right side
    4,707.72x = 8,457,927.25
  5. Step 5: Solve for x
    x = 8,457,927.25/4,707.72
  6. Step 6: Final answer
    x = 1,796.61

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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.