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Finding the Fourth Proportional to 6,237, 9,357.04 and 1,854.44

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Solution

The fourth proportional to 6,237, 9,357.04 and 1,854.44 is: 2,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237 : 9,357.04 = 1,854.44 : x
  2. Step 2: Convert to fraction form
    6,237/9,357.04 = 1,854.44/x
  3. Step 3: Cross multiply
    6,237x = 9,357.04 × 1,854.44
  4. Step 4: Simplify right side
    6,237x = 17,352,059.88
  5. Step 5: Solve for x
    x = 17,352,059.88/6,237
  6. Step 6: Final answer
    x = 2,782.12

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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.