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Finding the Fourth Proportional to 6,551.52, 9,042.75 and 4,427.70

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Solution

The fourth proportional to 6,551.52, 9,042.75 and 4,427.70 is: 6,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.52 : 9,042.75 = 4,427.70 : x
  2. Step 2: Convert to fraction form
    6,551.52/9,042.75 = 4,427.70/x
  3. Step 3: Cross multiply
    6,551.52x = 9,042.75 × 4,427.70
  4. Step 4: Simplify right side
    6,551.52x = 40,038,584.18
  5. Step 5: Solve for x
    x = 40,038,584.18/6,551.52
  6. Step 6: Final answer
    x = 6,111.34

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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.