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Finding the Fourth Proportional to 9,630.60, 14,446.80 and 3,057

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Solution

The fourth proportional to 9,630.60, 14,446.80 and 3,057 is: 4,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.60 : 14,446.80 = 3,057 : x
  2. Step 2: Convert to fraction form
    9,630.60/14,446.80 = 3,057/x
  3. Step 3: Cross multiply
    9,630.60x = 14,446.80 × 3,057
  4. Step 4: Simplify right side
    9,630.60x = 44,163,867.60
  5. Step 5: Solve for x
    x = 44,163,867.60/9,630.60
  6. Step 6: Final answer
    x = 4,585.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.