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Finding the Fourth Proportional to 7,147.44, 9,860.13 and 4,496.31

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Solution

The fourth proportional to 7,147.44, 9,860.13 and 4,496.31 is: 6,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.44 : 9,860.13 = 4,496.31 : x
  2. Step 2: Convert to fraction form
    7,147.44/9,860.13 = 4,496.31/x
  3. Step 3: Cross multiply
    7,147.44x = 9,860.13 × 4,496.31
  4. Step 4: Simplify right side
    7,147.44x = 44,334,201.12
  5. Step 5: Solve for x
    x = 44,334,201.12/7,147.44
  6. Step 6: Final answer
    x = 6,202.81

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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.