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Finding the Fourth Proportional to 6,470.94, 9,690.47 and 3,690.75

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Solution

The fourth proportional to 6,470.94, 9,690.47 and 3,690.75 is: 5,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.94 : 9,690.47 = 3,690.75 : x
  2. Step 2: Convert to fraction form
    6,470.94/9,690.47 = 3,690.75/x
  3. Step 3: Cross multiply
    6,470.94x = 9,690.47 × 3,690.75
  4. Step 4: Simplify right side
    6,470.94x = 35,765,102.15
  5. Step 5: Solve for x
    x = 35,765,102.15/6,470.94
  6. Step 6: Final answer
    x = 5,527.03

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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.