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Finding the Fourth Proportional to 21,771.48, 32,647.89 and 6,976.44

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Solution

The fourth proportional to 21,771.48, 32,647.89 and 6,976.44 is: 10,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.48 : 32,647.89 = 6,976.44 : x
  2. Step 2: Convert to fraction form
    21,771.48/32,647.89 = 6,976.44/x
  3. Step 3: Cross multiply
    21,771.48x = 32,647.89 × 6,976.44
  4. Step 4: Simplify right side
    21,771.48x = 227,766,045.71
  5. Step 5: Solve for x
    x = 227,766,045.71/21,771.48
  6. Step 6: Final answer
    x = 10,461.67

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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.