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Finding the Fourth Proportional to 14,165.84, 19,549.08 and 8,198.72

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Solution

The fourth proportional to 14,165.84, 19,549.08 and 8,198.72 is: 11,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.84 : 19,549.08 = 8,198.72 : x
  2. Step 2: Convert to fraction form
    14,165.84/19,549.08 = 8,198.72/x
  3. Step 3: Cross multiply
    14,165.84x = 19,549.08 × 8,198.72
  4. Step 4: Simplify right side
    14,165.84x = 160,277,433.18
  5. Step 5: Solve for x
    x = 160,277,433.18/14,165.84
  6. Step 6: Final answer
    x = 11,314.36

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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.