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Finding the Fourth Proportional to 6,986.74, 9,644.70 and 4,993.82

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Solution

The fourth proportional to 6,986.74, 9,644.70 and 4,993.82 is: 6,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.74 : 9,644.70 = 4,993.82 : x
  2. Step 2: Convert to fraction form
    6,986.74/9,644.70 = 4,993.82/x
  3. Step 3: Cross multiply
    6,986.74x = 9,644.70 × 4,993.82
  4. Step 4: Simplify right side
    6,986.74x = 48,163,895.75
  5. Step 5: Solve for x
    x = 48,163,895.75/6,986.74
  6. Step 6: Final answer
    x = 6,893.62

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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.