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Finding the Fourth Proportional to 9,879.52, 14,820.90 and 4,682.56

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Solution

The fourth proportional to 9,879.52, 14,820.90 and 4,682.56 is: 7,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.52 : 14,820.90 = 4,682.56 : x
  2. Step 2: Convert to fraction form
    9,879.52/14,820.90 = 4,682.56/x
  3. Step 3: Cross multiply
    9,879.52x = 14,820.90 × 4,682.56
  4. Step 4: Simplify right side
    9,879.52x = 69,399,753.50
  5. Step 5: Solve for x
    x = 69,399,753.50/9,879.52
  6. Step 6: Final answer
    x = 7,024.61

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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.