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Finding the Fourth Proportional to 6,975.32, 9,624.42 and 3,992.09

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Solution

The fourth proportional to 6,975.32, 9,624.42 and 3,992.09 is: 5,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.32 : 9,624.42 = 3,992.09 : x
  2. Step 2: Convert to fraction form
    6,975.32/9,624.42 = 3,992.09/x
  3. Step 3: Cross multiply
    6,975.32x = 9,624.42 × 3,992.09
  4. Step 4: Simplify right side
    6,975.32x = 38,421,502.72
  5. Step 5: Solve for x
    x = 38,421,502.72/6,975.32
  6. Step 6: Final answer
    x = 5,508.21

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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.