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Finding the Fourth Proportional to 23,413, 35,119.52 and 6,997

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Solution

The fourth proportional to 23,413, 35,119.52 and 6,997 is: 10,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413 : 35,119.52 = 6,997 : x
  2. Step 2: Convert to fraction form
    23,413/35,119.52 = 6,997/x
  3. Step 3: Cross multiply
    23,413x = 35,119.52 × 6,997
  4. Step 4: Simplify right side
    23,413x = 245,731,281.44
  5. Step 5: Solve for x
    x = 245,731,281.44/23,413
  6. Step 6: Final answer
    x = 10,495.51

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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.