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Finding the Fourth Proportional to 9,016, 13,526.88 and 2,860

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Solution

The fourth proportional to 9,016, 13,526.88 and 2,860 is: 4,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016 : 13,526.88 = 2,860 : x
  2. Step 2: Convert to fraction form
    9,016/13,526.88 = 2,860/x
  3. Step 3: Cross multiply
    9,016x = 13,526.88 × 2,860
  4. Step 4: Simplify right side
    9,016x = 38,686,876.80
  5. Step 5: Solve for x
    x = 38,686,876.80/9,016
  6. Step 6: Final answer
    x = 4,290.91

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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.