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Finding the Fourth Proportional to 11,681.89, 17,512.09 and 4,660.22

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Solution

The fourth proportional to 11,681.89, 17,512.09 and 4,660.22 is: 6,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.89 : 17,512.09 = 4,660.22 : x
  2. Step 2: Convert to fraction form
    11,681.89/17,512.09 = 4,660.22/x
  3. Step 3: Cross multiply
    11,681.89x = 17,512.09 × 4,660.22
  4. Step 4: Simplify right side
    11,681.89x = 81,610,224.19
  5. Step 5: Solve for x
    x = 81,610,224.19/11,681.89
  6. Step 6: Final answer
    x = 6,986.05

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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.