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Finding the Fourth Proportional to 12,179.84, 16,809.63 and 7,145.96

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Solution

The fourth proportional to 12,179.84, 16,809.63 and 7,145.96 is: 9,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.84 : 16,809.63 = 7,145.96 : x
  2. Step 2: Convert to fraction form
    12,179.84/16,809.63 = 7,145.96/x
  3. Step 3: Cross multiply
    12,179.84x = 16,809.63 × 7,145.96
  4. Step 4: Simplify right side
    12,179.84x = 120,120,943.59
  5. Step 5: Solve for x
    x = 120,120,943.59/12,179.84
  6. Step 6: Final answer
    x = 9,862.28

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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.