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Finding the Fourth Proportional to 9,994.57, 13,773.99 and 7,472.23

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Solution

The fourth proportional to 9,994.57, 13,773.99 and 7,472.23 is: 10,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.57 : 13,773.99 = 7,472.23 : x
  2. Step 2: Convert to fraction form
    9,994.57/13,773.99 = 7,472.23/x
  3. Step 3: Cross multiply
    9,994.57x = 13,773.99 × 7,472.23
  4. Step 4: Simplify right side
    9,994.57x = 102,922,421.30
  5. Step 5: Solve for x
    x = 102,922,421.30/9,994.57
  6. Step 6: Final answer
    x = 10,297.83

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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.