Home / 6,102.32-9,153.81-1,942.66

Finding the Fourth Proportional to 6,102.32, 9,153.81 and 1,942.66

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Solution

The fourth proportional to 6,102.32, 9,153.81 and 1,942.66 is: 2,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.32 : 9,153.81 = 1,942.66 : x
  2. Step 2: Convert to fraction form
    6,102.32/9,153.81 = 1,942.66/x
  3. Step 3: Cross multiply
    6,102.32x = 9,153.81 × 1,942.66
  4. Step 4: Simplify right side
    6,102.32x = 17,782,740.53
  5. Step 5: Solve for x
    x = 17,782,740.53/6,102.32
  6. Step 6: Final answer
    x = 2,914.10

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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.