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Finding the Fourth Proportional to 6,566.22, 9,851.16 and 3,646.58

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Solution

The fourth proportional to 6,566.22, 9,851.16 and 3,646.58 is: 5,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.22 : 9,851.16 = 3,646.58 : x
  2. Step 2: Convert to fraction form
    6,566.22/9,851.16 = 3,646.58/x
  3. Step 3: Cross multiply
    6,566.22x = 9,851.16 × 3,646.58
  4. Step 4: Simplify right side
    6,566.22x = 35,923,009.29
  5. Step 5: Solve for x
    x = 35,923,009.29/6,566.22
  6. Step 6: Final answer
    x = 5,470.88

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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.