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Finding the Fourth Proportional to 4,769.84, 7,154.76 and 1,483.14

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Solution

The fourth proportional to 4,769.84, 7,154.76 and 1,483.14 is: 2,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.84 : 7,154.76 = 1,483.14 : x
  2. Step 2: Convert to fraction form
    4,769.84/7,154.76 = 1,483.14/x
  3. Step 3: Cross multiply
    4,769.84x = 7,154.76 × 1,483.14
  4. Step 4: Simplify right side
    4,769.84x = 10,611,510.75
  5. Step 5: Solve for x
    x = 10,611,510.75/4,769.84
  6. Step 6: Final answer
    x = 2,224.71

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Similar ratio
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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.