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Finding the Fourth Proportional to 6,014, 9,020.32 and 1,853.66

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Solution

The fourth proportional to 6,014, 9,020.32 and 1,853.66 is: 2,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014 : 9,020.32 = 1,853.66 : x
  2. Step 2: Convert to fraction form
    6,014/9,020.32 = 1,853.66/x
  3. Step 3: Cross multiply
    6,014x = 9,020.32 × 1,853.66
  4. Step 4: Simplify right side
    6,014x = 16,720,606.37
  5. Step 5: Solve for x
    x = 16,720,606.37/6,014
  6. Step 6: Final answer
    x = 2,780.28

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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.