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Finding the Fourth Proportional to 4,824.63, 7,237.81 and 1,706.44

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Solution

The fourth proportional to 4,824.63, 7,237.81 and 1,706.44 is: 2,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.63 : 7,237.81 = 1,706.44 : x
  2. Step 2: Convert to fraction form
    4,824.63/7,237.81 = 1,706.44/x
  3. Step 3: Cross multiply
    4,824.63x = 7,237.81 × 1,706.44
  4. Step 4: Simplify right side
    4,824.63x = 12,350,888.50
  5. Step 5: Solve for x
    x = 12,350,888.50/4,824.63
  6. Step 6: Final answer
    x = 2,559.97

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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.