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Finding the Fourth Proportional to 7,902.14, 11,824.02 and 6,502.46

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Solution

The fourth proportional to 7,902.14, 11,824.02 and 6,502.46 is: 9,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.14 : 11,824.02 = 6,502.46 : x
  2. Step 2: Convert to fraction form
    7,902.14/11,824.02 = 6,502.46/x
  3. Step 3: Cross multiply
    7,902.14x = 11,824.02 × 6,502.46
  4. Step 4: Simplify right side
    7,902.14x = 76,885,157.97
  5. Step 5: Solve for x
    x = 76,885,157.97/7,902.14
  6. Step 6: Final answer
    x = 9,729.67

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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.