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Finding the Fourth Proportional to 8,283.72, 12,430.44 and 3,093.24

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Solution

The fourth proportional to 8,283.72, 12,430.44 and 3,093.24 is: 4,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.72 : 12,430.44 = 3,093.24 : x
  2. Step 2: Convert to fraction form
    8,283.72/12,430.44 = 3,093.24/x
  3. Step 3: Cross multiply
    8,283.72x = 12,430.44 × 3,093.24
  4. Step 4: Simplify right side
    8,283.72x = 38,450,334.23
  5. Step 5: Solve for x
    x = 38,450,334.23/8,283.72
  6. Step 6: Final answer
    x = 4,641.67

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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.