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Finding the Fourth Proportional to 5,150.70, 7,706.92 and 3,071.84

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Solution

The fourth proportional to 5,150.70, 7,706.92 and 3,071.84 is: 4,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.70 : 7,706.92 = 3,071.84 : x
  2. Step 2: Convert to fraction form
    5,150.70/7,706.92 = 3,071.84/x
  3. Step 3: Cross multiply
    5,150.70x = 7,706.92 × 3,071.84
  4. Step 4: Simplify right side
    5,150.70x = 23,674,394.35
  5. Step 5: Solve for x
    x = 23,674,394.35/5,150.70
  6. Step 6: Final answer
    x = 4,596.34

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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.