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Finding the Fourth Proportional to 3,999.96, 6,002.64 and 1,402.92

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Solution

The fourth proportional to 3,999.96, 6,002.64 and 1,402.92 is: 2,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.96 : 6,002.64 = 1,402.92 : x
  2. Step 2: Convert to fraction form
    3,999.96/6,002.64 = 1,402.92/x
  3. Step 3: Cross multiply
    3,999.96x = 6,002.64 × 1,402.92
  4. Step 4: Simplify right side
    3,999.96x = 8,421,223.71
  5. Step 5: Solve for x
    x = 8,421,223.71/3,999.96
  6. Step 6: Final answer
    x = 2,105.33

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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.