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Finding the Fourth Proportional to 6,473.59, 9,702.24 and 2,771.44

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Solution

The fourth proportional to 6,473.59, 9,702.24 and 2,771.44 is: 4,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.59 : 9,702.24 = 2,771.44 : x
  2. Step 2: Convert to fraction form
    6,473.59/9,702.24 = 2,771.44/x
  3. Step 3: Cross multiply
    6,473.59x = 9,702.24 × 2,771.44
  4. Step 4: Simplify right side
    6,473.59x = 26,889,176.03
  5. Step 5: Solve for x
    x = 26,889,176.03/6,473.59
  6. Step 6: Final answer
    x = 4,153.67

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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.