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Finding the Fourth Proportional to 9,047, 13,570.76 and 2,891

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Solution

The fourth proportional to 9,047, 13,570.76 and 2,891 is: 4,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047 : 13,570.76 = 2,891 : x
  2. Step 2: Convert to fraction form
    9,047/13,570.76 = 2,891/x
  3. Step 3: Cross multiply
    9,047x = 13,570.76 × 2,891
  4. Step 4: Simplify right side
    9,047x = 39,233,067.16
  5. Step 5: Solve for x
    x = 39,233,067.16/9,047
  6. Step 6: Final answer
    x = 4,336.58

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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.