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Finding the Fourth Proportional to 24,522.82, 36,784.58 and 6,992.65

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Solution

The fourth proportional to 24,522.82, 36,784.58 and 6,992.65 is: 10,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.82 : 36,784.58 = 6,992.65 : x
  2. Step 2: Convert to fraction form
    24,522.82/36,784.58 = 6,992.65/x
  3. Step 3: Cross multiply
    24,522.82x = 36,784.58 × 6,992.65
  4. Step 4: Simplify right side
    24,522.82x = 257,221,704.35
  5. Step 5: Solve for x
    x = 257,221,704.35/24,522.82
  6. Step 6: Final answer
    x = 10,489.08

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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.