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Finding the Fourth Proportional to 4,096.84, 6,145.30 and 1,018.84

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Solution

The fourth proportional to 4,096.84, 6,145.30 and 1,018.84 is: 1,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.84 : 6,145.30 = 1,018.84 : x
  2. Step 2: Convert to fraction form
    4,096.84/6,145.30 = 1,018.84/x
  3. Step 3: Cross multiply
    4,096.84x = 6,145.30 × 1,018.84
  4. Step 4: Simplify right side
    4,096.84x = 6,261,077.45
  5. Step 5: Solve for x
    x = 6,261,077.45/4,096.84
  6. Step 6: Final answer
    x = 1,528.27

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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.