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Finding the Fourth Proportional to 6,402.51, 9,604.07 and 3,111.68

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Solution

The fourth proportional to 6,402.51, 9,604.07 and 3,111.68 is: 4,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.51 : 9,604.07 = 3,111.68 : x
  2. Step 2: Convert to fraction form
    6,402.51/9,604.07 = 3,111.68/x
  3. Step 3: Cross multiply
    6,402.51x = 9,604.07 × 3,111.68
  4. Step 4: Simplify right side
    6,402.51x = 29,884,776.98
  5. Step 5: Solve for x
    x = 29,884,776.98/6,402.51
  6. Step 6: Final answer
    x = 4,667.67

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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.