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Finding the Fourth Proportional to 6,570.25, 9,825.41 and 4,905.54

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Solution

The fourth proportional to 6,570.25, 9,825.41 and 4,905.54 is: 7,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.25 : 9,825.41 = 4,905.54 : x
  2. Step 2: Convert to fraction form
    6,570.25/9,825.41 = 4,905.54/x
  3. Step 3: Cross multiply
    6,570.25x = 9,825.41 × 4,905.54
  4. Step 4: Simplify right side
    6,570.25x = 48,198,954.04
  5. Step 5: Solve for x
    x = 48,198,954.04/6,570.25
  6. Step 6: Final answer
    x = 7,335.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.