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Finding the Fourth Proportional to 6,402.58, 9,605.22 and 2,020.34

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Solution

The fourth proportional to 6,402.58, 9,605.22 and 2,020.34 is: 3,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.58 : 9,605.22 = 2,020.34 : x
  2. Step 2: Convert to fraction form
    6,402.58/9,605.22 = 2,020.34/x
  3. Step 3: Cross multiply
    6,402.58x = 9,605.22 × 2,020.34
  4. Step 4: Simplify right side
    6,402.58x = 19,405,810.17
  5. Step 5: Solve for x
    x = 19,405,810.17/6,402.58
  6. Step 6: Final answer
    x = 3,030.94

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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.