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Finding the Fourth Proportional to 13,518, 18,654.84 and 7,630

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Solution

The fourth proportional to 13,518, 18,654.84 and 7,630 is: 10,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518 : 18,654.84 = 7,630 : x
  2. Step 2: Convert to fraction form
    13,518/18,654.84 = 7,630/x
  3. Step 3: Cross multiply
    13,518x = 18,654.84 × 7,630
  4. Step 4: Simplify right side
    13,518x = 142,336,429.20
  5. Step 5: Solve for x
    x = 142,336,429.20/13,518
  6. Step 6: Final answer
    x = 10,529.40

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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.