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Finding the Fourth Proportional to 6,038.19, 9,058.19 and 2,142.27

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Solution

The fourth proportional to 6,038.19, 9,058.19 and 2,142.27 is: 3,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.19 : 9,058.19 = 2,142.27 : x
  2. Step 2: Convert to fraction form
    6,038.19/9,058.19 = 2,142.27/x
  3. Step 3: Cross multiply
    6,038.19x = 9,058.19 × 2,142.27
  4. Step 4: Simplify right side
    6,038.19x = 19,405,077.98
  5. Step 5: Solve for x
    x = 19,405,077.98/6,038.19
  6. Step 6: Final answer
    x = 3,213.72

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1.5x scale

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.