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Finding the Fourth Proportional to 11,942, 17,913 and 4,646

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Solution

The fourth proportional to 11,942, 17,913 and 4,646 is: 6,969

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942 : 17,913 = 4,646 : x
  2. Step 2: Convert to fraction form
    11,942/17,913 = 4,646/x
  3. Step 3: Cross multiply
    11,942x = 17,913 × 4,646
  4. Step 4: Simplify right side
    11,942x = 83,223,798
  5. Step 5: Solve for x
    x = 83,223,798/11,942
  6. Step 6: Final answer
    x = 6,969

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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.