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Finding the Fourth Proportional to 6,554.76, 9,046.74 and 4,196.84

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Solution

The fourth proportional to 6,554.76, 9,046.74 and 4,196.84 is: 5,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.76 : 9,046.74 = 4,196.84 : x
  2. Step 2: Convert to fraction form
    6,554.76/9,046.74 = 4,196.84/x
  3. Step 3: Cross multiply
    6,554.76x = 9,046.74 × 4,196.84
  4. Step 4: Simplify right side
    6,554.76x = 37,967,720.30
  5. Step 5: Solve for x
    x = 37,967,720.30/6,554.76
  6. Step 6: Final answer
    x = 5,792.39

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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.