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Finding the Fourth Proportional to 14,683, 20,262.36 and 7,968.64

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Solution

The fourth proportional to 14,683, 20,262.36 and 7,968.64 is: 10,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683 : 20,262.36 = 7,968.64 : x
  2. Step 2: Convert to fraction form
    14,683/20,262.36 = 7,968.64/x
  3. Step 3: Cross multiply
    14,683x = 20,262.36 × 7,968.64
  4. Step 4: Simplify right side
    14,683x = 161,463,452.39
  5. Step 5: Solve for x
    x = 161,463,452.39/14,683
  6. Step 6: Final answer
    x = 10,996.63

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1.5x scale

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.