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Finding the Fourth Proportional to 7,958, 10,982.04 and 4,816.64

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Solution

The fourth proportional to 7,958, 10,982.04 and 4,816.64 is: 6,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958 : 10,982.04 = 4,816.64 : x
  2. Step 2: Convert to fraction form
    7,958/10,982.04 = 4,816.64/x
  3. Step 3: Cross multiply
    7,958x = 10,982.04 × 4,816.64
  4. Step 4: Simplify right side
    7,958x = 52,896,533.15
  5. Step 5: Solve for x
    x = 52,896,533.15/7,958
  6. Step 6: Final answer
    x = 6,646.96

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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.