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Finding the Fourth Proportional to 8,289.69, 12,435.75 and 2,445.54

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Solution

The fourth proportional to 8,289.69, 12,435.75 and 2,445.54 is: 3,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.69 : 12,435.75 = 2,445.54 : x
  2. Step 2: Convert to fraction form
    8,289.69/12,435.75 = 2,445.54/x
  3. Step 3: Cross multiply
    8,289.69x = 12,435.75 × 2,445.54
  4. Step 4: Simplify right side
    8,289.69x = 30,412,124.06
  5. Step 5: Solve for x
    x = 30,412,124.06/8,289.69
  6. Step 6: Final answer
    x = 3,668.67

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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.