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Finding the Fourth Proportional to 6,197.25, 9,297.56 and 1,814.67

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Solution

The fourth proportional to 6,197.25, 9,297.56 and 1,814.67 is: 2,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.25 : 9,297.56 = 1,814.67 : x
  2. Step 2: Convert to fraction form
    6,197.25/9,297.56 = 1,814.67/x
  3. Step 3: Cross multiply
    6,197.25x = 9,297.56 × 1,814.67
  4. Step 4: Simplify right side
    6,197.25x = 16,871,994.13
  5. Step 5: Solve for x
    x = 16,871,994.13/6,197.25
  6. Step 6: Final answer
    x = 2,722.50

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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.