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Finding the Fourth Proportional to 9,994.56, 14,991.84 and 3,069.12

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Solution

The fourth proportional to 9,994.56, 14,991.84 and 3,069.12 is: 4,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.56 : 14,991.84 = 3,069.12 : x
  2. Step 2: Convert to fraction form
    9,994.56/14,991.84 = 3,069.12/x
  3. Step 3: Cross multiply
    9,994.56x = 14,991.84 × 3,069.12
  4. Step 4: Simplify right side
    9,994.56x = 46,011,755.98
  5. Step 5: Solve for x
    x = 46,011,755.98/9,994.56
  6. Step 6: Final answer
    x = 4,603.68

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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.