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Finding the Fourth Proportional to 7,650.42, 11,468.97 and 6,487.98

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Solution

The fourth proportional to 7,650.42, 11,468.97 and 6,487.98 is: 9,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.42 : 11,468.97 = 6,487.98 : x
  2. Step 2: Convert to fraction form
    7,650.42/11,468.97 = 6,487.98/x
  3. Step 3: Cross multiply
    7,650.42x = 11,468.97 × 6,487.98
  4. Step 4: Simplify right side
    7,650.42x = 74,410,447.98
  5. Step 5: Solve for x
    x = 74,410,447.98/7,650.42
  6. Step 6: Final answer
    x = 9,726.32

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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.