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Finding the Fourth Proportional to 23,114, 34,676.76 and 6,698

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Solution

The fourth proportional to 23,114, 34,676.76 and 6,698 is: 10,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114 : 34,676.76 = 6,698 : x
  2. Step 2: Convert to fraction form
    23,114/34,676.76 = 6,698/x
  3. Step 3: Cross multiply
    23,114x = 34,676.76 × 6,698
  4. Step 4: Simplify right side
    23,114x = 232,264,938.48
  5. Step 5: Solve for x
    x = 232,264,938.48/23,114
  6. Step 6: Final answer
    x = 10,048.67

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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.