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Finding the Fourth Proportional to 10,685.70, 16,028.46 and 2,894.46

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Solution

The fourth proportional to 10,685.70, 16,028.46 and 2,894.46 is: 4,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.70 : 16,028.46 = 2,894.46 : x
  2. Step 2: Convert to fraction form
    10,685.70/16,028.46 = 2,894.46/x
  3. Step 3: Cross multiply
    10,685.70x = 16,028.46 × 2,894.46
  4. Step 4: Simplify right side
    10,685.70x = 46,393,736.33
  5. Step 5: Solve for x
    x = 46,393,736.33/10,685.70
  6. Step 6: Final answer
    x = 4,341.67

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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.