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Finding the Fourth Proportional to 7,183.84, 10,774.54 and 1,988.50

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Solution

The fourth proportional to 7,183.84, 10,774.54 and 1,988.50 is: 2,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.84 : 10,774.54 = 1,988.50 : x
  2. Step 2: Convert to fraction form
    7,183.84/10,774.54 = 1,988.50/x
  3. Step 3: Cross multiply
    7,183.84x = 10,774.54 × 1,988.50
  4. Step 4: Simplify right side
    7,183.84x = 21,425,172.79
  5. Step 5: Solve for x
    x = 21,425,172.79/7,183.84
  6. Step 6: Final answer
    x = 2,982.41

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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.