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Finding the Fourth Proportional to 5,743.64, 7,930.62 and 4,415.24

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Solution

The fourth proportional to 5,743.64, 7,930.62 and 4,415.24 is: 6,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.64 : 7,930.62 = 4,415.24 : x
  2. Step 2: Convert to fraction form
    5,743.64/7,930.62 = 4,415.24/x
  3. Step 3: Cross multiply
    5,743.64x = 7,930.62 × 4,415.24
  4. Step 4: Simplify right side
    5,743.64x = 35,015,590.65
  5. Step 5: Solve for x
    x = 35,015,590.65/5,743.64
  6. Step 6: Final answer
    x = 6,096.41

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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.