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Finding the Fourth Proportional to 12,406.62, 18,607.74 and 5,650.66

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Solution

The fourth proportional to 12,406.62, 18,607.74 and 5,650.66 is: 8,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.62 : 18,607.74 = 5,650.66 : x
  2. Step 2: Convert to fraction form
    12,406.62/18,607.74 = 5,650.66/x
  3. Step 3: Cross multiply
    12,406.62x = 18,607.74 × 5,650.66
  4. Step 4: Simplify right side
    12,406.62x = 105,146,045.96
  5. Step 5: Solve for x
    x = 105,146,045.96/12,406.62
  6. Step 6: Final answer
    x = 8,474.99

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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.