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Finding the Fourth Proportional to 6,528.85, 9,745.49 and 5,610.31

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Solution

The fourth proportional to 6,528.85, 9,745.49 and 5,610.31 is: 8,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.85 : 9,745.49 = 5,610.31 : x
  2. Step 2: Convert to fraction form
    6,528.85/9,745.49 = 5,610.31/x
  3. Step 3: Cross multiply
    6,528.85x = 9,745.49 × 5,610.31
  4. Step 4: Simplify right side
    6,528.85x = 54,675,220.00
  5. Step 5: Solve for x
    x = 54,675,220.00/6,528.85
  6. Step 6: Final answer
    x = 8,374.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.