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Finding the Fourth Proportional to 8,190.84, 11,303.52 and 4,464.84

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Solution

The fourth proportional to 8,190.84, 11,303.52 and 4,464.84 is: 6,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.84 : 11,303.52 = 4,464.84 : x
  2. Step 2: Convert to fraction form
    8,190.84/11,303.52 = 4,464.84/x
  3. Step 3: Cross multiply
    8,190.84x = 11,303.52 × 4,464.84
  4. Step 4: Simplify right side
    8,190.84x = 50,468,408.24
  5. Step 5: Solve for x
    x = 50,468,408.24/8,190.84
  6. Step 6: Final answer
    x = 6,161.57

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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.