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Finding the Fourth Proportional to 6,554.44, 9,054.30 and 4,564

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Solution

The fourth proportional to 6,554.44, 9,054.30 and 4,564 is: 6,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.44 : 9,054.30 = 4,564 : x
  2. Step 2: Convert to fraction form
    6,554.44/9,054.30 = 4,564/x
  3. Step 3: Cross multiply
    6,554.44x = 9,054.30 × 4,564
  4. Step 4: Simplify right side
    6,554.44x = 41,323,825.20
  5. Step 5: Solve for x
    x = 41,323,825.20/6,554.44
  6. Step 6: Final answer
    x = 6,304.71

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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.