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Finding the Fourth Proportional to 6,653.48, 9,183.71 and 4,664.52

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Solution

The fourth proportional to 6,653.48, 9,183.71 and 4,664.52 is: 6,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.48 : 9,183.71 = 4,664.52 : x
  2. Step 2: Convert to fraction form
    6,653.48/9,183.71 = 4,664.52/x
  3. Step 3: Cross multiply
    6,653.48x = 9,183.71 × 4,664.52
  4. Step 4: Simplify right side
    6,653.48x = 42,837,610.63
  5. Step 5: Solve for x
    x = 42,837,610.63/6,653.48
  6. Step 6: Final answer
    x = 6,438.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.