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Finding the Fourth Proportional to 6,470.03, 9,705.03 and 2,027.72

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Solution

The fourth proportional to 6,470.03, 9,705.03 and 2,027.72 is: 3,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.03 : 9,705.03 = 2,027.72 : x
  2. Step 2: Convert to fraction form
    6,470.03/9,705.03 = 2,027.72/x
  3. Step 3: Cross multiply
    6,470.03x = 9,705.03 × 2,027.72
  4. Step 4: Simplify right side
    6,470.03x = 19,679,083.43
  5. Step 5: Solve for x
    x = 19,679,083.43/6,470.03
  6. Step 6: Final answer
    x = 3,041.58

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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.