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Finding the Fourth Proportional to 6,564.52, 9,840.54 and 3,274.50

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Solution

The fourth proportional to 6,564.52, 9,840.54 and 3,274.50 is: 4,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.52 : 9,840.54 = 3,274.50 : x
  2. Step 2: Convert to fraction form
    6,564.52/9,840.54 = 3,274.50/x
  3. Step 3: Cross multiply
    6,564.52x = 9,840.54 × 3,274.50
  4. Step 4: Simplify right side
    6,564.52x = 32,222,848.23
  5. Step 5: Solve for x
    x = 32,222,848.23/6,564.52
  6. Step 6: Final answer
    x = 4,908.64

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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.