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Finding the Fourth Proportional to 7,201.56, 10,796.80 and 6,468.92

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Solution

The fourth proportional to 7,201.56, 10,796.80 and 6,468.92 is: 9,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.56 : 10,796.80 = 6,468.92 : x
  2. Step 2: Convert to fraction form
    7,201.56/10,796.80 = 6,468.92/x
  3. Step 3: Cross multiply
    7,201.56x = 10,796.80 × 6,468.92
  4. Step 4: Simplify right side
    7,201.56x = 69,843,635.46
  5. Step 5: Solve for x
    x = 69,843,635.46/7,201.56
  6. Step 6: Final answer
    x = 9,698.40

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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.