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Finding the Fourth Proportional to 17,973, 26,964.81 and 9,214.05

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Solution

The fourth proportional to 17,973, 26,964.81 and 9,214.05 is: 13,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973 : 26,964.81 = 9,214.05 : x
  2. Step 2: Convert to fraction form
    17,973/26,964.81 = 9,214.05/x
  3. Step 3: Cross multiply
    17,973x = 26,964.81 × 9,214.05
  4. Step 4: Simplify right side
    17,973x = 248,455,107.58
  5. Step 5: Solve for x
    x = 248,455,107.58/17,973
  6. Step 6: Final answer
    x = 13,823.80

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1.5x scale

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.