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Finding the Fourth Proportional to 7,470.44, 11,202 and 4,351.54

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Solution

The fourth proportional to 7,470.44, 11,202 and 4,351.54 is: 6,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.44 : 11,202 = 4,351.54 : x
  2. Step 2: Convert to fraction form
    7,470.44/11,202 = 4,351.54/x
  3. Step 3: Cross multiply
    7,470.44x = 11,202 × 4,351.54
  4. Step 4: Simplify right side
    7,470.44x = 48,745,951.08
  5. Step 5: Solve for x
    x = 48,745,951.08/7,470.44
  6. Step 6: Final answer
    x = 6,525.18

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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.