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Finding the Fourth Proportional to 7,968, 10,996.48 and 4,656.64

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Solution

The fourth proportional to 7,968, 10,996.48 and 4,656.64 is: 6,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968 : 10,996.48 = 4,656.64 : x
  2. Step 2: Convert to fraction form
    7,968/10,996.48 = 4,656.64/x
  3. Step 3: Cross multiply
    7,968x = 10,996.48 × 4,656.64
  4. Step 4: Simplify right side
    7,968x = 51,206,648.63
  5. Step 5: Solve for x
    x = 51,206,648.63/7,968
  6. Step 6: Final answer
    x = 6,426.54

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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.