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Finding the Fourth Proportional to 6,566.47, 9,832.08 and 5,243.94

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Solution

The fourth proportional to 6,566.47, 9,832.08 and 5,243.94 is: 7,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.47 : 9,832.08 = 5,243.94 : x
  2. Step 2: Convert to fraction form
    6,566.47/9,832.08 = 5,243.94/x
  3. Step 3: Cross multiply
    6,566.47x = 9,832.08 × 5,243.94
  4. Step 4: Simplify right side
    6,566.47x = 51,558,857.26
  5. Step 5: Solve for x
    x = 51,558,857.26/6,566.47
  6. Step 6: Final answer
    x = 7,851.84

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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.