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Finding the Fourth Proportional to 17,930.44, 24,743.94 and 9,973

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Solution

The fourth proportional to 17,930.44, 24,743.94 and 9,973 is: 13,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930.44 : 24,743.94 = 9,973 : x
  2. Step 2: Convert to fraction form
    17,930.44/24,743.94 = 9,973/x
  3. Step 3: Cross multiply
    17,930.44x = 24,743.94 × 9,973
  4. Step 4: Simplify right side
    17,930.44x = 246,771,313.62
  5. Step 5: Solve for x
    x = 246,771,313.62/17,930.44
  6. Step 6: Final answer
    x = 13,762.70

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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.