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Finding the Fourth Proportional to 7,813.26, 10,782.26 and 4,276.44

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Solution

The fourth proportional to 7,813.26, 10,782.26 and 4,276.44 is: 5,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.26 : 10,782.26 = 4,276.44 : x
  2. Step 2: Convert to fraction form
    7,813.26/10,782.26 = 4,276.44/x
  3. Step 3: Cross multiply
    7,813.26x = 10,782.26 × 4,276.44
  4. Step 4: Simplify right side
    7,813.26x = 46,109,687.95
  5. Step 5: Solve for x
    x = 46,109,687.95/7,813.26
  6. Step 6: Final answer
    x = 5,901.47

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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.