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Finding the Fourth Proportional to 6,958.12, 9,599.78 and 3,971.78

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Solution

The fourth proportional to 6,958.12, 9,599.78 and 3,971.78 is: 5,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.12 : 9,599.78 = 3,971.78 : x
  2. Step 2: Convert to fraction form
    6,958.12/9,599.78 = 3,971.78/x
  3. Step 3: Cross multiply
    6,958.12x = 9,599.78 × 3,971.78
  4. Step 4: Simplify right side
    6,958.12x = 38,128,214.21
  5. Step 5: Solve for x
    x = 38,128,214.21/6,958.12
  6. Step 6: Final answer
    x = 5,479.67

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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.