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Finding the Fourth Proportional to 19,776.46, 29,647.46 and 8,082.22

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Solution

The fourth proportional to 19,776.46, 29,647.46 and 8,082.22 is: 12,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.46 : 29,647.46 = 8,082.22 : x
  2. Step 2: Convert to fraction form
    19,776.46/29,647.46 = 8,082.22/x
  3. Step 3: Cross multiply
    19,776.46x = 29,647.46 × 8,082.22
  4. Step 4: Simplify right side
    19,776.46x = 239,617,294.16
  5. Step 5: Solve for x
    x = 239,617,294.16/19,776.46
  6. Step 6: Final answer
    x = 12,116.29

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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.