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Finding the Fourth Proportional to 14,446.80, 19,922.49 and 9,658.62

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Solution

The fourth proportional to 14,446.80, 19,922.49 and 9,658.62 is: 13,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.80 : 19,922.49 = 9,658.62 : x
  2. Step 2: Convert to fraction form
    14,446.80/19,922.49 = 9,658.62/x
  3. Step 3: Cross multiply
    14,446.80x = 19,922.49 × 9,658.62
  4. Step 4: Simplify right side
    14,446.80x = 192,423,760.36
  5. Step 5: Solve for x
    x = 192,423,760.36/14,446.80
  6. Step 6: Final answer
    x = 13,319.47

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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.