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Finding the Fourth Proportional to 4,706.09, 7,053.97 and 2,361.44

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Solution

The fourth proportional to 4,706.09, 7,053.97 and 2,361.44 is: 3,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.09 : 7,053.97 = 2,361.44 : x
  2. Step 2: Convert to fraction form
    4,706.09/7,053.97 = 2,361.44/x
  3. Step 3: Cross multiply
    4,706.09x = 7,053.97 × 2,361.44
  4. Step 4: Simplify right side
    4,706.09x = 16,657,526.92
  5. Step 5: Solve for x
    x = 16,657,526.92/4,706.09
  6. Step 6: Final answer
    x = 3,539.57

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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.