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Finding the Fourth Proportional to 8,190.51, 12,226.17 and 7,581.93

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Solution

The fourth proportional to 8,190.51, 12,226.17 and 7,581.93 is: 11,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.51 : 12,226.17 = 7,581.93 : x
  2. Step 2: Convert to fraction form
    8,190.51/12,226.17 = 7,581.93/x
  3. Step 3: Cross multiply
    8,190.51x = 12,226.17 × 7,581.93
  4. Step 4: Simplify right side
    8,190.51x = 92,697,965.11
  5. Step 5: Solve for x
    x = 92,697,965.11/8,190.51
  6. Step 6: Final answer
    x = 11,317.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.