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Finding the Fourth Proportional to 6,566.35, 9,851.35 and 3,646.70

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Solution

The fourth proportional to 6,566.35, 9,851.35 and 3,646.70 is: 5,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.35 : 9,851.35 = 3,646.70 : x
  2. Step 2: Convert to fraction form
    6,566.35/9,851.35 = 3,646.70/x
  3. Step 3: Cross multiply
    6,566.35x = 9,851.35 × 3,646.70
  4. Step 4: Simplify right side
    6,566.35x = 35,924,933.56
  5. Step 5: Solve for x
    x = 35,924,933.56/6,566.35
  6. Step 6: Final answer
    x = 5,471.07

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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.