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Finding the Fourth Proportional to 9,892.56, 13,658.08 and 8,828.48

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Solution

The fourth proportional to 9,892.56, 13,658.08 and 8,828.48 is: 12,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.56 : 13,658.08 = 8,828.48 : x
  2. Step 2: Convert to fraction form
    9,892.56/13,658.08 = 8,828.48/x
  3. Step 3: Cross multiply
    9,892.56x = 13,658.08 × 8,828.48
  4. Step 4: Simplify right side
    9,892.56x = 120,580,086.12
  5. Step 5: Solve for x
    x = 120,580,086.12/9,892.56
  6. Step 6: Final answer
    x = 12,188.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.