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Finding the Fourth Proportional to 11,973.70, 16,524.02 and 6,938.13

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Solution

The fourth proportional to 11,973.70, 16,524.02 and 6,938.13 is: 9,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.70 : 16,524.02 = 6,938.13 : x
  2. Step 2: Convert to fraction form
    11,973.70/16,524.02 = 6,938.13/x
  3. Step 3: Cross multiply
    11,973.70x = 16,524.02 × 6,938.13
  4. Step 4: Simplify right side
    11,973.70x = 114,645,798.88
  5. Step 5: Solve for x
    x = 114,645,798.88/11,973.70
  6. Step 6: Final answer
    x = 9,574.80

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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.