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Finding the Fourth Proportional to 6,566.54, 9,844.21 and 2,866.00

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Solution

The fourth proportional to 6,566.54, 9,844.21 and 2,866.00 is: 4,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.54 : 9,844.21 = 2,866.00 : x
  2. Step 2: Convert to fraction form
    6,566.54/9,844.21 = 2,866.00/x
  3. Step 3: Cross multiply
    6,566.54x = 9,844.21 × 2,866.00
  4. Step 4: Simplify right side
    6,566.54x = 28,213,516.37
  5. Step 5: Solve for x
    x = 28,213,516.37/6,566.54
  6. Step 6: Final answer
    x = 4,296.56

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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.