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Finding the Fourth Proportional to 30,804.22, 46,212.02 and 9,749.56

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Solution

The fourth proportional to 30,804.22, 46,212.02 and 9,749.56 is: 14,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.22 : 46,212.02 = 9,749.56 : x
  2. Step 2: Convert to fraction form
    30,804.22/46,212.02 = 9,749.56/x
  3. Step 3: Cross multiply
    30,804.22x = 46,212.02 × 9,749.56
  4. Step 4: Simplify right side
    30,804.22x = 450,546,861.71
  5. Step 5: Solve for x
    x = 450,546,861.71/30,804.22
  6. Step 6: Final answer
    x = 14,626.14

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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.