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Finding the Fourth Proportional to 7,735.26, 11,602.77 and 1,891.74

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Solution

The fourth proportional to 7,735.26, 11,602.77 and 1,891.74 is: 2,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.26 : 11,602.77 = 1,891.74 : x
  2. Step 2: Convert to fraction form
    7,735.26/11,602.77 = 1,891.74/x
  3. Step 3: Cross multiply
    7,735.26x = 11,602.77 × 1,891.74
  4. Step 4: Simplify right side
    7,735.26x = 21,949,424.12
  5. Step 5: Solve for x
    x = 21,949,424.12/7,735.26
  6. Step 6: Final answer
    x = 2,837.58

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1.5x scale

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.