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Finding the Fourth Proportional to 4,697.72, 7,046.63 and 1,234.97

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Solution

The fourth proportional to 4,697.72, 7,046.63 and 1,234.97 is: 1,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.72 : 7,046.63 = 1,234.97 : x
  2. Step 2: Convert to fraction form
    4,697.72/7,046.63 = 1,234.97/x
  3. Step 3: Cross multiply
    4,697.72x = 7,046.63 × 1,234.97
  4. Step 4: Simplify right side
    4,697.72x = 8,702,335.24
  5. Step 5: Solve for x
    x = 8,702,335.24/4,697.72
  6. Step 6: Final answer
    x = 1,852.46

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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.