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Finding the Fourth Proportional to 6,968, 10,455.59 and 4,629.62

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Solution

The fourth proportional to 6,968, 10,455.59 and 4,629.62 is: 6,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968 : 10,455.59 = 4,629.62 : x
  2. Step 2: Convert to fraction form
    6,968/10,455.59 = 4,629.62/x
  3. Step 3: Cross multiply
    6,968x = 10,455.59 × 4,629.62
  4. Step 4: Simplify right side
    6,968x = 48,405,356.30
  5. Step 5: Solve for x
    x = 48,405,356.30/6,968
  6. Step 6: Final answer
    x = 6,946.81

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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.