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Finding the Fourth Proportional to 6,061.74, 9,094.22 and 1,901.90

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Solution

The fourth proportional to 6,061.74, 9,094.22 and 1,901.90 is: 2,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.74 : 9,094.22 = 1,901.90 : x
  2. Step 2: Convert to fraction form
    6,061.74/9,094.22 = 1,901.90/x
  3. Step 3: Cross multiply
    6,061.74x = 9,094.22 × 1,901.90
  4. Step 4: Simplify right side
    6,061.74x = 17,296,297.02
  5. Step 5: Solve for x
    x = 17,296,297.02/6,061.74
  6. Step 6: Final answer
    x = 2,853.36

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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.