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Finding the Fourth Proportional to 11,523.71, 17,257.86 and 6,578.34

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Solution

The fourth proportional to 11,523.71, 17,257.86 and 6,578.34 is: 9,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.71 : 17,257.86 = 6,578.34 : x
  2. Step 2: Convert to fraction form
    11,523.71/17,257.86 = 6,578.34/x
  3. Step 3: Cross multiply
    11,523.71x = 17,257.86 × 6,578.34
  4. Step 4: Simplify right side
    11,523.71x = 113,528,070.75
  5. Step 5: Solve for x
    x = 113,528,070.75/11,523.71
  6. Step 6: Final answer
    x = 9,851.70

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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.