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Finding the Fourth Proportional to 11,970.72, 17,996.63 and 9,647.04

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Solution

The fourth proportional to 11,970.72, 17,996.63 and 9,647.04 is: 14,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.72 : 17,996.63 = 9,647.04 : x
  2. Step 2: Convert to fraction form
    11,970.72/17,996.63 = 9,647.04/x
  3. Step 3: Cross multiply
    11,970.72x = 17,996.63 × 9,647.04
  4. Step 4: Simplify right side
    11,970.72x = 173,614,161.24
  5. Step 5: Solve for x
    x = 173,614,161.24/11,970.72
  6. Step 6: Final answer
    x = 14,503.23

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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.