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Finding the Fourth Proportional to 6,713.46, 10,076.46 and 3,428.91

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Solution

The fourth proportional to 6,713.46, 10,076.46 and 3,428.91 is: 5,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.46 : 10,076.46 = 3,428.91 : x
  2. Step 2: Convert to fraction form
    6,713.46/10,076.46 = 3,428.91/x
  3. Step 3: Cross multiply
    6,713.46x = 10,076.46 × 3,428.91
  4. Step 4: Simplify right side
    6,713.46x = 34,551,274.46
  5. Step 5: Solve for x
    x = 34,551,274.46/6,713.46
  6. Step 6: Final answer
    x = 5,146.57

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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.