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Finding the Fourth Proportional to 9,190.96, 13,786.96 and 2,616.63

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Solution

The fourth proportional to 9,190.96, 13,786.96 and 2,616.63 is: 3,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.96 : 13,786.96 = 2,616.63 : x
  2. Step 2: Convert to fraction form
    9,190.96/13,786.96 = 2,616.63/x
  3. Step 3: Cross multiply
    9,190.96x = 13,786.96 × 2,616.63
  4. Step 4: Simplify right side
    9,190.96x = 36,075,373.14
  5. Step 5: Solve for x
    x = 36,075,373.14/9,190.96
  6. Step 6: Final answer
    x = 3,925.09

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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.