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Finding the Fourth Proportional to 11,984, 17,976 and 4,688

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Solution

The fourth proportional to 11,984, 17,976 and 4,688 is: 7,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984 : 17,976 = 4,688 : x
  2. Step 2: Convert to fraction form
    11,984/17,976 = 4,688/x
  3. Step 3: Cross multiply
    11,984x = 17,976 × 4,688
  4. Step 4: Simplify right side
    11,984x = 84,271,488
  5. Step 5: Solve for x
    x = 84,271,488/11,984
  6. Step 6: Final answer
    x = 7,032

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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.