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Finding the Fourth Proportional to 14,480.98, 19,983.31 and 8,193.35

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Solution

The fourth proportional to 14,480.98, 19,983.31 and 8,193.35 is: 11,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.98 : 19,983.31 = 8,193.35 : x
  2. Step 2: Convert to fraction form
    14,480.98/19,983.31 = 8,193.35/x
  3. Step 3: Cross multiply
    14,480.98x = 19,983.31 × 8,193.35
  4. Step 4: Simplify right side
    14,480.98x = 163,730,282.46
  5. Step 5: Solve for x
    x = 163,730,282.46/14,480.98
  6. Step 6: Final answer
    x = 11,306.58

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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.