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Finding the Fourth Proportional to 12,094.50, 18,148.68 and 4,698

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Solution

The fourth proportional to 12,094.50, 18,148.68 and 4,698 is: 7,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.50 : 18,148.68 = 4,698 : x
  2. Step 2: Convert to fraction form
    12,094.50/18,148.68 = 4,698/x
  3. Step 3: Cross multiply
    12,094.50x = 18,148.68 × 4,698
  4. Step 4: Simplify right side
    12,094.50x = 85,262,498.64
  5. Step 5: Solve for x
    x = 85,262,498.64/12,094.50
  6. Step 6: Final answer
    x = 7,049.69

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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.