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Finding the Fourth Proportional to 12,082.77, 16,674.12 and 6,777.47

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Solution

The fourth proportional to 12,082.77, 16,674.12 and 6,777.47 is: 9,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.77 : 16,674.12 = 6,777.47 : x
  2. Step 2: Convert to fraction form
    12,082.77/16,674.12 = 6,777.47/x
  3. Step 3: Cross multiply
    12,082.77x = 16,674.12 × 6,777.47
  4. Step 4: Simplify right side
    12,082.77x = 113,008,389.76
  5. Step 5: Solve for x
    x = 113,008,389.76/12,082.77
  6. Step 6: Final answer
    x = 9,352.85

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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.