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Finding the Fourth Proportional to 7,064.96, 9,749.24 and 3,920.94

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Solution

The fourth proportional to 7,064.96, 9,749.24 and 3,920.94 is: 5,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.96 : 9,749.24 = 3,920.94 : x
  2. Step 2: Convert to fraction form
    7,064.96/9,749.24 = 3,920.94/x
  3. Step 3: Cross multiply
    7,064.96x = 9,749.24 × 3,920.94
  4. Step 4: Simplify right side
    7,064.96x = 38,226,185.09
  5. Step 5: Solve for x
    x = 38,226,185.09/7,064.96
  6. Step 6: Final answer
    x = 5,410.67

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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.