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Finding the Fourth Proportional to 4,076.46, 6,114.65 and 998.46

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Solution

The fourth proportional to 4,076.46, 6,114.65 and 998.46 is: 1,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.46 : 6,114.65 = 998.46 : x
  2. Step 2: Convert to fraction form
    4,076.46/6,114.65 = 998.46/x
  3. Step 3: Cross multiply
    4,076.46x = 6,114.65 × 998.46
  4. Step 4: Simplify right side
    4,076.46x = 6,105,228.45
  5. Step 5: Solve for x
    x = 6,105,228.45/4,076.46
  6. Step 6: Final answer
    x = 1,497.68

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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.