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Finding the Fourth Proportional to 6,664.36, 9,196.74 and 4,569.16

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Solution

The fourth proportional to 6,664.36, 9,196.74 and 4,569.16 is: 6,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.36 : 9,196.74 = 4,569.16 : x
  2. Step 2: Convert to fraction form
    6,664.36/9,196.74 = 4,569.16/x
  3. Step 3: Cross multiply
    6,664.36x = 9,196.74 × 4,569.16
  4. Step 4: Simplify right side
    6,664.36x = 42,021,376.54
  5. Step 5: Solve for x
    x = 42,021,376.54/6,664.36
  6. Step 6: Final answer
    x = 6,305.39

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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.