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Finding the Fourth Proportional to 6,062.03, 9,093 and 1,559.07

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Solution

The fourth proportional to 6,062.03, 9,093 and 1,559.07 is: 2,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.03 : 9,093 = 1,559.07 : x
  2. Step 2: Convert to fraction form
    6,062.03/9,093 = 1,559.07/x
  3. Step 3: Cross multiply
    6,062.03x = 9,093 × 1,559.07
  4. Step 4: Simplify right side
    6,062.03x = 14,176,578.05
  5. Step 5: Solve for x
    x = 14,176,578.05/6,062.03
  6. Step 6: Final answer
    x = 2,338.59

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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.