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Finding the Fourth Proportional to 6,387.67, 9,581.46 and 1,770.67

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Solution

The fourth proportional to 6,387.67, 9,581.46 and 1,770.67 is: 2,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.67 : 9,581.46 = 1,770.67 : x
  2. Step 2: Convert to fraction form
    6,387.67/9,581.46 = 1,770.67/x
  3. Step 3: Cross multiply
    6,387.67x = 9,581.46 × 1,770.67
  4. Step 4: Simplify right side
    6,387.67x = 16,965,603.78
  5. Step 5: Solve for x
    x = 16,965,603.78/6,387.67
  6. Step 6: Final answer
    x = 2,655.99

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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.