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Finding the Fourth Proportional to 4,735.34, 7,103.01 and 1,448.43

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Solution

The fourth proportional to 4,735.34, 7,103.01 and 1,448.43 is: 2,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.34 : 7,103.01 = 1,448.43 : x
  2. Step 2: Convert to fraction form
    4,735.34/7,103.01 = 1,448.43/x
  3. Step 3: Cross multiply
    4,735.34x = 7,103.01 × 1,448.43
  4. Step 4: Simplify right side
    4,735.34x = 10,288,212.77
  5. Step 5: Solve for x
    x = 10,288,212.77/4,735.34
  6. Step 6: Final answer
    x = 2,172.65

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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.