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Finding the Fourth Proportional to 11,973.51, 16,523.03 and 6,668.21

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Solution

The fourth proportional to 11,973.51, 16,523.03 and 6,668.21 is: 9,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.51 : 16,523.03 = 6,668.21 : x
  2. Step 2: Convert to fraction form
    11,973.51/16,523.03 = 6,668.21/x
  3. Step 3: Cross multiply
    11,973.51x = 16,523.03 × 6,668.21
  4. Step 4: Simplify right side
    11,973.51x = 110,178,917.92
  5. Step 5: Solve for x
    x = 110,178,917.92/11,973.51
  6. Step 6: Final answer
    x = 9,201.89

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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.