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Finding the Fourth Proportional to 7,782, 10,735.68 and 4,796.74

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Solution

The fourth proportional to 7,782, 10,735.68 and 4,796.74 is: 6,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 10,735.68 = 4,796.74 : x
  2. Step 2: Convert to fraction form
    7,782/10,735.68 = 4,796.74/x
  3. Step 3: Cross multiply
    7,782x = 10,735.68 × 4,796.74
  4. Step 4: Simplify right side
    7,782x = 51,496,265.68
  5. Step 5: Solve for x
    x = 51,496,265.68/7,782
  6. Step 6: Final answer
    x = 6,617.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.