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Finding the Fourth Proportional to 9,287.52, 13,893.84 and 8,004.96

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Solution

The fourth proportional to 9,287.52, 13,893.84 and 8,004.96 is: 11,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.52 : 13,893.84 = 8,004.96 : x
  2. Step 2: Convert to fraction form
    9,287.52/13,893.84 = 8,004.96/x
  3. Step 3: Cross multiply
    9,287.52x = 13,893.84 × 8,004.96
  4. Step 4: Simplify right side
    9,287.52x = 111,219,633.45
  5. Step 5: Solve for x
    x = 111,219,633.45/9,287.52
  6. Step 6: Final answer
    x = 11,975.17

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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.