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Finding the Fourth Proportional to 13,461.77, 18,584.97 and 9,000.29

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Solution

The fourth proportional to 13,461.77, 18,584.97 and 9,000.29 is: 12,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.77 : 18,584.97 = 9,000.29 : x
  2. Step 2: Convert to fraction form
    13,461.77/18,584.97 = 9,000.29/x
  3. Step 3: Cross multiply
    13,461.77x = 18,584.97 × 9,000.29
  4. Step 4: Simplify right side
    13,461.77x = 167,270,119.64
  5. Step 5: Solve for x
    x = 167,270,119.64/13,461.77
  6. Step 6: Final answer
    x = 12,425.57

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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.