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Finding the Fourth Proportional to 6,141.12, 9,215.94 and 2,443.01

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Solution

The fourth proportional to 6,141.12, 9,215.94 and 2,443.01 is: 3,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.12 : 9,215.94 = 2,443.01 : x
  2. Step 2: Convert to fraction form
    6,141.12/9,215.94 = 2,443.01/x
  3. Step 3: Cross multiply
    6,141.12x = 9,215.94 × 2,443.01
  4. Step 4: Simplify right side
    6,141.12x = 22,514,587.50
  5. Step 5: Solve for x
    x = 22,514,587.50/6,141.12
  6. Step 6: Final answer
    x = 3,666.20

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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.