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Finding the Fourth Proportional to 7,101, 10,656 and 2,997

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Solution

The fourth proportional to 7,101, 10,656 and 2,997 is: 4,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101 : 10,656 = 2,997 : x
  2. Step 2: Convert to fraction form
    7,101/10,656 = 2,997/x
  3. Step 3: Cross multiply
    7,101x = 10,656 × 2,997
  4. Step 4: Simplify right side
    7,101x = 31,936,032
  5. Step 5: Solve for x
    x = 31,936,032/7,101
  6. Step 6: Final answer
    x = 4,497.40

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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.