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Finding the Fourth Proportional to 8,563.47, 12,849.05 and 5,442.67

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Solution

The fourth proportional to 8,563.47, 12,849.05 and 5,442.67 is: 8,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.47 : 12,849.05 = 5,442.67 : x
  2. Step 2: Convert to fraction form
    8,563.47/12,849.05 = 5,442.67/x
  3. Step 3: Cross multiply
    8,563.47x = 12,849.05 × 5,442.67
  4. Step 4: Simplify right side
    8,563.47x = 69,933,138.96
  5. Step 5: Solve for x
    x = 69,933,138.96/8,563.47
  6. Step 6: Final answer
    x = 8,166.45

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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.