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Finding the Fourth Proportional to 4,600.02, 6,900.02 and 2,002.34

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Solution

The fourth proportional to 4,600.02, 6,900.02 and 2,002.34 is: 3,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.02 : 6,900.02 = 2,002.34 : x
  2. Step 2: Convert to fraction form
    4,600.02/6,900.02 = 2,002.34/x
  3. Step 3: Cross multiply
    4,600.02x = 6,900.02 × 2,002.34
  4. Step 4: Simplify right side
    4,600.02x = 13,816,186.05
  5. Step 5: Solve for x
    x = 13,816,186.05/4,600.02
  6. Step 6: Final answer
    x = 3,003.51

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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.