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Finding the Fourth Proportional to 6,240, 9,361.74 and 1,857.64

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Solution

The fourth proportional to 6,240, 9,361.74 and 1,857.64 is: 2,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,240 : 9,361.74 = 1,857.64 : x
  2. Step 2: Convert to fraction form
    6,240/9,361.74 = 1,857.64/x
  3. Step 3: Cross multiply
    6,240x = 9,361.74 × 1,857.64
  4. Step 4: Simplify right side
    6,240x = 17,390,742.69
  5. Step 5: Solve for x
    x = 17,390,742.69/6,240
  6. Step 6: Final answer
    x = 2,786.98

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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.