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Finding the Fourth Proportional to 9,883.92, 13,637.93 and 5,634.80

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Solution

The fourth proportional to 9,883.92, 13,637.93 and 5,634.80 is: 7,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.92 : 13,637.93 = 5,634.80 : x
  2. Step 2: Convert to fraction form
    9,883.92/13,637.93 = 5,634.80/x
  3. Step 3: Cross multiply
    9,883.92x = 13,637.93 × 5,634.80
  4. Step 4: Simplify right side
    9,883.92x = 76,847,007.96
  5. Step 5: Solve for x
    x = 76,847,007.96/9,883.92
  6. Step 6: Final answer
    x = 7,774.95

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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.