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Finding the Fourth Proportional to 9,984.52, 13,772.53 and 6,398.27

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Solution

The fourth proportional to 9,984.52, 13,772.53 and 6,398.27 is: 8,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.52 : 13,772.53 = 6,398.27 : x
  2. Step 2: Convert to fraction form
    9,984.52/13,772.53 = 6,398.27/x
  3. Step 3: Cross multiply
    9,984.52x = 13,772.53 × 6,398.27
  4. Step 4: Simplify right side
    9,984.52x = 88,120,365.52
  5. Step 5: Solve for x
    x = 88,120,365.52/9,984.52
  6. Step 6: Final answer
    x = 8,825.70

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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.