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Finding the Fourth Proportional to 12,597.64, 18,896.46 and 4,808.68

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Solution

The fourth proportional to 12,597.64, 18,896.46 and 4,808.68 is: 7,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.64 : 18,896.46 = 4,808.68 : x
  2. Step 2: Convert to fraction form
    12,597.64/18,896.46 = 4,808.68/x
  3. Step 3: Cross multiply
    12,597.64x = 18,896.46 × 4,808.68
  4. Step 4: Simplify right side
    12,597.64x = 90,867,029.27
  5. Step 5: Solve for x
    x = 90,867,029.27/12,597.64
  6. Step 6: Final answer
    x = 7,213.02

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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.