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Finding the Fourth Proportional to 18,222.64, 27,318.74 and 7,700.74

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Solution

The fourth proportional to 18,222.64, 27,318.74 and 7,700.74 is: 11,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222.64 : 27,318.74 = 7,700.74 : x
  2. Step 2: Convert to fraction form
    18,222.64/27,318.74 = 7,700.74/x
  3. Step 3: Cross multiply
    18,222.64x = 27,318.74 × 7,700.74
  4. Step 4: Simplify right side
    18,222.64x = 210,374,407.07
  5. Step 5: Solve for x
    x = 210,374,407.07/18,222.64
  6. Step 6: Final answer
    x = 11,544.67

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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.