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Finding the Fourth Proportional to 5,998.46, 8,994.74 and 2,102.30

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Solution

The fourth proportional to 5,998.46, 8,994.74 and 2,102.30 is: 3,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.46 : 8,994.74 = 2,102.30 : x
  2. Step 2: Convert to fraction form
    5,998.46/8,994.74 = 2,102.30/x
  3. Step 3: Cross multiply
    5,998.46x = 8,994.74 × 2,102.30
  4. Step 4: Simplify right side
    5,998.46x = 18,909,602.18
  5. Step 5: Solve for x
    x = 18,909,602.18/5,998.46
  6. Step 6: Final answer
    x = 3,152.41

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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.