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Finding the Fourth Proportional to 6,096.45, 9,145.01 and 1,713.56

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Solution

The fourth proportional to 6,096.45, 9,145.01 and 1,713.56 is: 2,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.45 : 9,145.01 = 1,713.56 : x
  2. Step 2: Convert to fraction form
    6,096.45/9,145.01 = 1,713.56/x
  3. Step 3: Cross multiply
    6,096.45x = 9,145.01 × 1,713.56
  4. Step 4: Simplify right side
    6,096.45x = 15,670,523.34
  5. Step 5: Solve for x
    x = 15,670,523.34/6,096.45
  6. Step 6: Final answer
    x = 2,570.43

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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.