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Finding the Fourth Proportional to 17,771.74, 26,662.50 and 7,774.67

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Solution

The fourth proportional to 17,771.74, 26,662.50 and 7,774.67 is: 11,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.74 : 26,662.50 = 7,774.67 : x
  2. Step 2: Convert to fraction form
    17,771.74/26,662.50 = 7,774.67/x
  3. Step 3: Cross multiply
    17,771.74x = 26,662.50 × 7,774.67
  4. Step 4: Simplify right side
    17,771.74x = 207,292,055.55
  5. Step 5: Solve for x
    x = 207,292,055.55/17,771.74
  6. Step 6: Final answer
    x = 11,664.14

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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.