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Finding the Fourth Proportional to 15,601.42, 23,402.04 and 5,213.08

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Solution

The fourth proportional to 15,601.42, 23,402.04 and 5,213.08 is: 7,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601.42 : 23,402.04 = 5,213.08 : x
  2. Step 2: Convert to fraction form
    15,601.42/23,402.04 = 5,213.08/x
  3. Step 3: Cross multiply
    15,601.42x = 23,402.04 × 5,213.08
  4. Step 4: Simplify right side
    15,601.42x = 121,996,706.68
  5. Step 5: Solve for x
    x = 121,996,706.68/15,601.42
  6. Step 6: Final answer
    x = 7,819.59

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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.