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Finding the Fourth Proportional to 5,159.97, 7,739.96 and 1,462.20

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Solution

The fourth proportional to 5,159.97, 7,739.96 and 1,462.20 is: 2,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.97 : 7,739.96 = 1,462.20 : x
  2. Step 2: Convert to fraction form
    5,159.97/7,739.96 = 1,462.20/x
  3. Step 3: Cross multiply
    5,159.97x = 7,739.96 × 1,462.20
  4. Step 4: Simplify right side
    5,159.97x = 11,317,365.63
  5. Step 5: Solve for x
    x = 11,317,365.63/5,159.97
  6. Step 6: Final answer
    x = 2,193.30

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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.