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Finding the Fourth Proportional to 8,920.60, 13,409.70 and 8,229.40

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Solution

The fourth proportional to 8,920.60, 13,409.70 and 8,229.40 is: 12,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.60 : 13,409.70 = 8,229.40 : x
  2. Step 2: Convert to fraction form
    8,920.60/13,409.70 = 8,229.40/x
  3. Step 3: Cross multiply
    8,920.60x = 13,409.70 × 8,229.40
  4. Step 4: Simplify right side
    8,920.60x = 110,353,785.18
  5. Step 5: Solve for x
    x = 110,353,785.18/8,920.60
  6. Step 6: Final answer
    x = 12,370.67

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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.