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Finding the Fourth Proportional to 6,963.40, 9,604.74 and 4,724.56

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Solution

The fourth proportional to 6,963.40, 9,604.74 and 4,724.56 is: 6,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.40 : 9,604.74 = 4,724.56 : x
  2. Step 2: Convert to fraction form
    6,963.40/9,604.74 = 4,724.56/x
  3. Step 3: Cross multiply
    6,963.40x = 9,604.74 × 4,724.56
  4. Step 4: Simplify right side
    6,963.40x = 45,378,170.41
  5. Step 5: Solve for x
    x = 45,378,170.41/6,963.40
  6. Step 6: Final answer
    x = 6,516.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.