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Finding the Fourth Proportional to 12,402, 17,114.76 and 6,813

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Solution

The fourth proportional to 12,402, 17,114.76 and 6,813 is: 9,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402 : 17,114.76 = 6,813 : x
  2. Step 2: Convert to fraction form
    12,402/17,114.76 = 6,813/x
  3. Step 3: Cross multiply
    12,402x = 17,114.76 × 6,813
  4. Step 4: Simplify right side
    12,402x = 116,602,859.88
  5. Step 5: Solve for x
    x = 116,602,859.88/12,402
  6. Step 6: Final answer
    x = 9,401.94

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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.