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Finding the Fourth Proportional to 11,804.63, 16,288.92 and 7,984.60

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Solution

The fourth proportional to 11,804.63, 16,288.92 and 7,984.60 is: 11,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.63 : 16,288.92 = 7,984.60 : x
  2. Step 2: Convert to fraction form
    11,804.63/16,288.92 = 7,984.60/x
  3. Step 3: Cross multiply
    11,804.63x = 16,288.92 × 7,984.60
  4. Step 4: Simplify right side
    11,804.63x = 130,060,469.91
  5. Step 5: Solve for x
    x = 130,060,469.91/11,804.63
  6. Step 6: Final answer
    x = 11,017.76

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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.