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Finding the Fourth Proportional to 7,605.96, 11,410.14 and 3,223.44

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Solution

The fourth proportional to 7,605.96, 11,410.14 and 3,223.44 is: 4,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.96 : 11,410.14 = 3,223.44 : x
  2. Step 2: Convert to fraction form
    7,605.96/11,410.14 = 3,223.44/x
  3. Step 3: Cross multiply
    7,605.96x = 11,410.14 × 3,223.44
  4. Step 4: Simplify right side
    7,605.96x = 36,779,901.68
  5. Step 5: Solve for x
    x = 36,779,901.68/7,605.96
  6. Step 6: Final answer
    x = 4,835.67

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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.