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Finding the Fourth Proportional to 12,082.65, 16,666.68 and 7,994.44

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Solution

The fourth proportional to 12,082.65, 16,666.68 and 7,994.44 is: 11,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.65 : 16,666.68 = 7,994.44 : x
  2. Step 2: Convert to fraction form
    12,082.65/16,666.68 = 7,994.44/x
  3. Step 3: Cross multiply
    12,082.65x = 16,666.68 × 7,994.44
  4. Step 4: Simplify right side
    12,082.65x = 133,240,773.26
  5. Step 5: Solve for x
    x = 133,240,773.26/12,082.65
  6. Step 6: Final answer
    x = 11,027.45

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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.