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Finding the Fourth Proportional to 6,293.86, 9,430.98 and 3,980.50

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Solution

The fourth proportional to 6,293.86, 9,430.98 and 3,980.50 is: 5,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.86 : 9,430.98 = 3,980.50 : x
  2. Step 2: Convert to fraction form
    6,293.86/9,430.98 = 3,980.50/x
  3. Step 3: Cross multiply
    6,293.86x = 9,430.98 × 3,980.50
  4. Step 4: Simplify right side
    6,293.86x = 37,540,015.89
  5. Step 5: Solve for x
    x = 37,540,015.89/6,293.86
  6. Step 6: Final answer
    x = 5,964.55

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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.