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Finding the Fourth Proportional to 11,967.54, 16,510.75 and 11,949.06

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Solution

The fourth proportional to 11,967.54, 16,510.75 and 11,949.06 is: 16,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.54 : 16,510.75 = 11,949.06 : x
  2. Step 2: Convert to fraction form
    11,967.54/16,510.75 = 11,949.06/x
  3. Step 3: Cross multiply
    11,967.54x = 16,510.75 × 11,949.06
  4. Step 4: Simplify right side
    11,967.54x = 197,287,942.40
  5. Step 5: Solve for x
    x = 197,287,942.40/11,967.54
  6. Step 6: Final answer
    x = 16,485.25

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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.