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Finding the Fourth Proportional to 9,833.52, 13,564.44 and 6,295.44

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Solution

The fourth proportional to 9,833.52, 13,564.44 and 6,295.44 is: 8,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.52 : 13,564.44 = 6,295.44 : x
  2. Step 2: Convert to fraction form
    9,833.52/13,564.44 = 6,295.44/x
  3. Step 3: Cross multiply
    9,833.52x = 13,564.44 × 6,295.44
  4. Step 4: Simplify right side
    9,833.52x = 85,394,118.15
  5. Step 5: Solve for x
    x = 85,394,118.15/9,833.52
  6. Step 6: Final answer
    x = 8,683.98

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1.5x scale

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.