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Finding the Fourth Proportional to 3,411.70, 4,786.10 and 3,411.70

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Solution

The fourth proportional to 3,411.70, 4,786.10 and 3,411.70 is: 4,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.70 : 4,786.10 = 3,411.70 : x
  2. Step 2: Convert to fraction form
    3,411.70/4,786.10 = 3,411.70/x
  3. Step 3: Cross multiply
    3,411.70x = 4,786.10 × 3,411.70
  4. Step 4: Simplify right side
    3,411.70x = 16,328,737.37
  5. Step 5: Solve for x
    x = 16,328,737.37/3,411.70
  6. Step 6: Final answer
    x = 4,786.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.