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Finding the Fourth Proportional to 7,470, 11,205 and 1,998

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Solution

The fourth proportional to 7,470, 11,205 and 1,998 is: 2,997

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470 : 11,205 = 1,998 : x
  2. Step 2: Convert to fraction form
    7,470/11,205 = 1,998/x
  3. Step 3: Cross multiply
    7,470x = 11,205 × 1,998
  4. Step 4: Simplify right side
    7,470x = 22,387,590
  5. Step 5: Solve for x
    x = 22,387,590/7,470
  6. Step 6: Final answer
    x = 2,997

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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.