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Finding the Fourth Proportional to 6,533.20, 9,784.80 and 5,366.80

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Solution

The fourth proportional to 6,533.20, 9,784.80 and 5,366.80 is: 8,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.20 : 9,784.80 = 5,366.80 : x
  2. Step 2: Convert to fraction form
    6,533.20/9,784.80 = 5,366.80/x
  3. Step 3: Cross multiply
    6,533.20x = 9,784.80 × 5,366.80
  4. Step 4: Simplify right side
    6,533.20x = 52,513,064.64
  5. Step 5: Solve for x
    x = 52,513,064.64/6,533.20
  6. Step 6: Final answer
    x = 8,037.88

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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.