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Finding the Fourth Proportional to 9,832.56, 14,728.56 and 8,288.68

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Solution

The fourth proportional to 9,832.56, 14,728.56 and 8,288.68 is: 12,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.56 : 14,728.56 = 8,288.68 : x
  2. Step 2: Convert to fraction form
    9,832.56/14,728.56 = 8,288.68/x
  3. Step 3: Cross multiply
    9,832.56x = 14,728.56 × 8,288.68
  4. Step 4: Simplify right side
    9,832.56x = 122,080,320.70
  5. Step 5: Solve for x
    x = 122,080,320.70/9,832.56
  6. Step 6: Final answer
    x = 12,415.92

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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.