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Finding the Fourth Proportional to 12,698, 19,047 and 5,402

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Solution

The fourth proportional to 12,698, 19,047 and 5,402 is: 8,103

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698 : 19,047 = 5,402 : x
  2. Step 2: Convert to fraction form
    12,698/19,047 = 5,402/x
  3. Step 3: Cross multiply
    12,698x = 19,047 × 5,402
  4. Step 4: Simplify right side
    12,698x = 102,891,894
  5. Step 5: Solve for x
    x = 102,891,894/12,698
  6. Step 6: Final answer
    x = 8,103

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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.