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Finding the Fourth Proportional to 6,567.68, 9,794.56 and 5,600

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Solution

The fourth proportional to 6,567.68, 9,794.56 and 5,600 is: 8,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.68 : 9,794.56 = 5,600 : x
  2. Step 2: Convert to fraction form
    6,567.68/9,794.56 = 5,600/x
  3. Step 3: Cross multiply
    6,567.68x = 9,794.56 × 5,600
  4. Step 4: Simplify right side
    6,567.68x = 54,849,536
  5. Step 5: Solve for x
    x = 54,849,536/6,567.68
  6. Step 6: Final answer
    x = 8,351.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.