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Finding the Fourth Proportional to 6,398.03, 9,590.43 and 3,470.15

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Solution

The fourth proportional to 6,398.03, 9,590.43 and 3,470.15 is: 5,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.03 : 9,590.43 = 3,470.15 : x
  2. Step 2: Convert to fraction form
    6,398.03/9,590.43 = 3,470.15/x
  3. Step 3: Cross multiply
    6,398.03x = 9,590.43 × 3,470.15
  4. Step 4: Simplify right side
    6,398.03x = 33,280,182.71
  5. Step 5: Solve for x
    x = 33,280,182.71/6,398.03
  6. Step 6: Final answer
    x = 5,201.63

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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.