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Finding the Fourth Proportional to 4,357.26, 6,013 and 2,367.78

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Solution

The fourth proportional to 4,357.26, 6,013 and 2,367.78 is: 3,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.26 : 6,013 = 2,367.78 : x
  2. Step 2: Convert to fraction form
    4,357.26/6,013 = 2,367.78/x
  3. Step 3: Cross multiply
    4,357.26x = 6,013 × 2,367.78
  4. Step 4: Simplify right side
    4,357.26x = 14,237,461.14
  5. Step 5: Solve for x
    x = 14,237,461.14/4,357.26
  6. Step 6: Final answer
    x = 3,267.53

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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.