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Finding the Fourth Proportional to 7,071.70, 9,738.21 and 6,480.34

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Solution

The fourth proportional to 7,071.70, 9,738.21 and 6,480.34 is: 8,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.70 : 9,738.21 = 6,480.34 : x
  2. Step 2: Convert to fraction form
    7,071.70/9,738.21 = 6,480.34/x
  3. Step 3: Cross multiply
    7,071.70x = 9,738.21 × 6,480.34
  4. Step 4: Simplify right side
    7,071.70x = 63,106,911.79
  5. Step 5: Solve for x
    x = 63,106,911.79/7,071.70
  6. Step 6: Final answer
    x = 8,923.87

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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.