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Finding the Fourth Proportional to 12,415.96, 18,624.10 and 3,651.06

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Solution

The fourth proportional to 12,415.96, 18,624.10 and 3,651.06 is: 5,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.96 : 18,624.10 = 3,651.06 : x
  2. Step 2: Convert to fraction form
    12,415.96/18,624.10 = 3,651.06/x
  3. Step 3: Cross multiply
    12,415.96x = 18,624.10 × 3,651.06
  4. Step 4: Simplify right side
    12,415.96x = 67,997,706.55
  5. Step 5: Solve for x
    x = 67,997,706.55/12,415.96
  6. Step 6: Final answer
    x = 5,476.64

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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.