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Finding the Fourth Proportional to 13,004.74, 19,498.01 and 6,664.03

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Solution

The fourth proportional to 13,004.74, 19,498.01 and 6,664.03 is: 9,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.74 : 19,498.01 = 6,664.03 : x
  2. Step 2: Convert to fraction form
    13,004.74/19,498.01 = 6,664.03/x
  3. Step 3: Cross multiply
    13,004.74x = 19,498.01 × 6,664.03
  4. Step 4: Simplify right side
    13,004.74x = 129,935,323.58
  5. Step 5: Solve for x
    x = 129,935,323.58/13,004.74
  6. Step 6: Final answer
    x = 9,991.38

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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.