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Finding the Fourth Proportional to 8,299.32, 12,453.84 and 4,604.64

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Solution

The fourth proportional to 8,299.32, 12,453.84 and 4,604.64 is: 6,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.32 : 12,453.84 = 4,604.64 : x
  2. Step 2: Convert to fraction form
    8,299.32/12,453.84 = 4,604.64/x
  3. Step 3: Cross multiply
    8,299.32x = 12,453.84 × 4,604.64
  4. Step 4: Simplify right side
    8,299.32x = 57,345,449.82
  5. Step 5: Solve for x
    x = 57,345,449.82/8,299.32
  6. Step 6: Final answer
    x = 6,909.66

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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.