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Finding the Fourth Proportional to 8,596.30, 12,895.12 and 3,665.97

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Solution

The fourth proportional to 8,596.30, 12,895.12 and 3,665.97 is: 5,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.30 : 12,895.12 = 3,665.97 : x
  2. Step 2: Convert to fraction form
    8,596.30/12,895.12 = 3,665.97/x
  3. Step 3: Cross multiply
    8,596.30x = 12,895.12 × 3,665.97
  4. Step 4: Simplify right side
    8,596.30x = 47,273,123.07
  5. Step 5: Solve for x
    x = 47,273,123.07/8,596.30
  6. Step 6: Final answer
    x = 5,499.24

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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.