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Finding the Fourth Proportional to 5,576.25, 7,695.23 and 3,092.25

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Solution

The fourth proportional to 5,576.25, 7,695.23 and 3,092.25 is: 4,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.25 : 7,695.23 = 3,092.25 : x
  2. Step 2: Convert to fraction form
    5,576.25/7,695.23 = 3,092.25/x
  3. Step 3: Cross multiply
    5,576.25x = 7,695.23 × 3,092.25
  4. Step 4: Simplify right side
    5,576.25x = 23,795,559.51
  5. Step 5: Solve for x
    x = 23,795,559.51/5,576.25
  6. Step 6: Final answer
    x = 4,267.31

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Half scale
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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.