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Finding the Fourth Proportional to 6,533.84, 9,801.86 and 2,150.30

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Solution

The fourth proportional to 6,533.84, 9,801.86 and 2,150.30 is: 3,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.84 : 9,801.86 = 2,150.30 : x
  2. Step 2: Convert to fraction form
    6,533.84/9,801.86 = 2,150.30/x
  3. Step 3: Cross multiply
    6,533.84x = 9,801.86 × 2,150.30
  4. Step 4: Simplify right side
    6,533.84x = 21,076,879.80
  5. Step 5: Solve for x
    x = 21,076,879.80/6,533.84
  6. Step 6: Final answer
    x = 3,225.81

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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.