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Finding the Fourth Proportional to 6,533.64, 9,797.94 and 2,835.18

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Solution

The fourth proportional to 6,533.64, 9,797.94 and 2,835.18 is: 4,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.64 : 9,797.94 = 2,835.18 : x
  2. Step 2: Convert to fraction form
    6,533.64/9,797.94 = 2,835.18/x
  3. Step 3: Cross multiply
    6,533.64x = 9,797.94 × 2,835.18
  4. Step 4: Simplify right side
    6,533.64x = 27,778,923.53
  5. Step 5: Solve for x
    x = 27,778,923.53/6,533.64
  6. Step 6: Final answer
    x = 4,251.68

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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.