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Finding the Fourth Proportional to 6,696.42, 10,036.50 and 4,819.92

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Solution

The fourth proportional to 6,696.42, 10,036.50 and 4,819.92 is: 7,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.42 : 10,036.50 = 4,819.92 : x
  2. Step 2: Convert to fraction form
    6,696.42/10,036.50 = 4,819.92/x
  3. Step 3: Cross multiply
    6,696.42x = 10,036.50 × 4,819.92
  4. Step 4: Simplify right side
    6,696.42x = 48,375,127.08
  5. Step 5: Solve for x
    x = 48,375,127.08/6,696.42
  6. Step 6: Final answer
    x = 7,224.03

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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.