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Finding the Fourth Proportional to 37,270.84, 55,905.72 and 9,191.20

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Solution

The fourth proportional to 37,270.84, 55,905.72 and 9,191.20 is: 13,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,270.84 : 55,905.72 = 9,191.20 : x
  2. Step 2: Convert to fraction form
    37,270.84/55,905.72 = 9,191.20/x
  3. Step 3: Cross multiply
    37,270.84x = 55,905.72 × 9,191.20
  4. Step 4: Simplify right side
    37,270.84x = 513,840,653.66
  5. Step 5: Solve for x
    x = 513,840,653.66/37,270.84
  6. Step 6: Final answer
    x = 13,786.67

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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.