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Finding the Fourth Proportional to 5,235.72, 7,851.09 and 1,536.99

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Solution

The fourth proportional to 5,235.72, 7,851.09 and 1,536.99 is: 2,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.72 : 7,851.09 = 1,536.99 : x
  2. Step 2: Convert to fraction form
    5,235.72/7,851.09 = 1,536.99/x
  3. Step 3: Cross multiply
    5,235.72x = 7,851.09 × 1,536.99
  4. Step 4: Simplify right side
    5,235.72x = 12,067,046.82
  5. Step 5: Solve for x
    x = 12,067,046.82/5,235.72
  6. Step 6: Final answer
    x = 2,304.75

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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.