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Finding the Fourth Proportional to 9,020.70, 13,532.52 and 2,780.70

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Solution

The fourth proportional to 9,020.70, 13,532.52 and 2,780.70 is: 4,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.70 : 13,532.52 = 2,780.70 : x
  2. Step 2: Convert to fraction form
    9,020.70/13,532.52 = 2,780.70/x
  3. Step 3: Cross multiply
    9,020.70x = 13,532.52 × 2,780.70
  4. Step 4: Simplify right side
    9,020.70x = 37,629,878.36
  5. Step 5: Solve for x
    x = 37,629,878.36/9,020.70
  6. Step 6: Final answer
    x = 4,171.50

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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.