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Finding the Fourth Proportional to 11,707.68, 17,542.02 and 8,237.64

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Solution

The fourth proportional to 11,707.68, 17,542.02 and 8,237.64 is: 12,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.68 : 17,542.02 = 8,237.64 : x
  2. Step 2: Convert to fraction form
    11,707.68/17,542.02 = 8,237.64/x
  3. Step 3: Cross multiply
    11,707.68x = 17,542.02 × 8,237.64
  4. Step 4: Simplify right side
    11,707.68x = 144,504,845.63
  5. Step 5: Solve for x
    x = 144,504,845.63/11,707.68
  6. Step 6: Final answer
    x = 12,342.74

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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.