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Finding the Fourth Proportional to 12,523.08, 17,275.82 and 8,275.80

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Solution

The fourth proportional to 12,523.08, 17,275.82 and 8,275.80 is: 11,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.08 : 17,275.82 = 8,275.80 : x
  2. Step 2: Convert to fraction form
    12,523.08/17,275.82 = 8,275.80/x
  3. Step 3: Cross multiply
    12,523.08x = 17,275.82 × 8,275.80
  4. Step 4: Simplify right side
    12,523.08x = 142,971,189.78
  5. Step 5: Solve for x
    x = 142,971,189.78/12,523.08
  6. Step 6: Final answer
    x = 11,416.62

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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.