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Finding the Fourth Proportional to 9,892.44, 13,654.02 and 6,711.05

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Solution

The fourth proportional to 9,892.44, 13,654.02 and 6,711.05 is: 9,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.44 : 13,654.02 = 6,711.05 : x
  2. Step 2: Convert to fraction form
    9,892.44/13,654.02 = 6,711.05/x
  3. Step 3: Cross multiply
    9,892.44x = 13,654.02 × 6,711.05
  4. Step 4: Simplify right side
    9,892.44x = 91,632,742.65
  5. Step 5: Solve for x
    x = 91,632,742.65/9,892.44
  6. Step 6: Final answer
    x = 9,262.91

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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.