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Finding the Fourth Proportional to 9,768.56, 14,635.44 and 8,463.92

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Solution

The fourth proportional to 9,768.56, 14,635.44 and 8,463.92 is: 12,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.56 : 14,635.44 = 8,463.92 : x
  2. Step 2: Convert to fraction form
    9,768.56/14,635.44 = 8,463.92/x
  3. Step 3: Cross multiply
    9,768.56x = 14,635.44 × 8,463.92
  4. Step 4: Simplify right side
    9,768.56x = 123,873,193.32
  5. Step 5: Solve for x
    x = 123,873,193.32/9,768.56
  6. Step 6: Final answer
    x = 12,680.80

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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.