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Finding the Fourth Proportional to 8,472.34, 12,709.32 and 4,967.62

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Solution

The fourth proportional to 8,472.34, 12,709.32 and 4,967.62 is: 7,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.34 : 12,709.32 = 4,967.62 : x
  2. Step 2: Convert to fraction form
    8,472.34/12,709.32 = 4,967.62/x
  3. Step 3: Cross multiply
    8,472.34x = 12,709.32 × 4,967.62
  4. Step 4: Simplify right side
    8,472.34x = 63,135,072.22
  5. Step 5: Solve for x
    x = 63,135,072.22/8,472.34
  6. Step 6: Final answer
    x = 7,451.90

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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.