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Finding the Fourth Proportional to 9,193.80, 13,797.66 and 6,735.01

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Solution

The fourth proportional to 9,193.80, 13,797.66 and 6,735.01 is: 10,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.80 : 13,797.66 = 6,735.01 : x
  2. Step 2: Convert to fraction form
    9,193.80/13,797.66 = 6,735.01/x
  3. Step 3: Cross multiply
    9,193.80x = 13,797.66 × 6,735.01
  4. Step 4: Simplify right side
    9,193.80x = 92,927,378.08
  5. Step 5: Solve for x
    x = 92,927,378.08/9,193.80
  6. Step 6: Final answer
    x = 10,107.61

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1.5x scale

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.