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Finding the Fourth Proportional to 5,969.50, 8,946.84 and 3,778.84

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Solution

The fourth proportional to 5,969.50, 8,946.84 and 3,778.84 is: 5,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.50 : 8,946.84 = 3,778.84 : x
  2. Step 2: Convert to fraction form
    5,969.50/8,946.84 = 3,778.84/x
  3. Step 3: Cross multiply
    5,969.50x = 8,946.84 × 3,778.84
  4. Step 4: Simplify right side
    5,969.50x = 33,808,676.87
  5. Step 5: Solve for x
    x = 33,808,676.87/5,969.50
  6. Step 6: Final answer
    x = 5,663.57

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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.