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Finding the Fourth Proportional to 5,951.79, 8,206.50 and 4,829.22

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Solution

The fourth proportional to 5,951.79, 8,206.50 and 4,829.22 is: 6,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.79 : 8,206.50 = 4,829.22 : x
  2. Step 2: Convert to fraction form
    5,951.79/8,206.50 = 4,829.22/x
  3. Step 3: Cross multiply
    5,951.79x = 8,206.50 × 4,829.22
  4. Step 4: Simplify right side
    5,951.79x = 39,630,993.93
  5. Step 5: Solve for x
    x = 39,630,993.93/5,951.79
  6. Step 6: Final answer
    x = 6,658.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.