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Finding the Fourth Proportional to 6,592.44, 9,878.94 and 3,666.72

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Solution

The fourth proportional to 6,592.44, 9,878.94 and 3,666.72 is: 5,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.44 : 9,878.94 = 3,666.72 : x
  2. Step 2: Convert to fraction form
    6,592.44/9,878.94 = 3,666.72/x
  3. Step 3: Cross multiply
    6,592.44x = 9,878.94 × 3,666.72
  4. Step 4: Simplify right side
    6,592.44x = 36,223,306.88
  5. Step 5: Solve for x
    x = 36,223,306.88/6,592.44
  6. Step 6: Final answer
    x = 5,494.67

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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.