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Finding the Fourth Proportional to 6,012.51, 9,019.62 and 1,851.90

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Solution

The fourth proportional to 6,012.51, 9,019.62 and 1,851.90 is: 2,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.51 : 9,019.62 = 1,851.90 : x
  2. Step 2: Convert to fraction form
    6,012.51/9,019.62 = 1,851.90/x
  3. Step 3: Cross multiply
    6,012.51x = 9,019.62 × 1,851.90
  4. Step 4: Simplify right side
    6,012.51x = 16,703,434.28
  5. Step 5: Solve for x
    x = 16,703,434.28/6,012.51
  6. Step 6: Final answer
    x = 2,778.11

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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.