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Finding the Fourth Proportional to 7,046, 10,569 and 2,942

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Solution

The fourth proportional to 7,046, 10,569 and 2,942 is: 4,413

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046 : 10,569 = 2,942 : x
  2. Step 2: Convert to fraction form
    7,046/10,569 = 2,942/x
  3. Step 3: Cross multiply
    7,046x = 10,569 × 2,942
  4. Step 4: Simplify right side
    7,046x = 31,093,998
  5. Step 5: Solve for x
    x = 31,093,998/7,046
  6. Step 6: Final answer
    x = 4,413

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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.