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Finding the Fourth Proportional to 12,409.66, 18,636.93 and 7,738.75

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Solution

The fourth proportional to 12,409.66, 18,636.93 and 7,738.75 is: 11,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.66 : 18,636.93 = 7,738.75 : x
  2. Step 2: Convert to fraction form
    12,409.66/18,636.93 = 7,738.75/x
  3. Step 3: Cross multiply
    12,409.66x = 18,636.93 × 7,738.75
  4. Step 4: Simplify right side
    12,409.66x = 144,226,448.85
  5. Step 5: Solve for x
    x = 144,226,448.85/12,409.66
  6. Step 6: Final answer
    x = 11,622.12

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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.