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Finding the Fourth Proportional to 25,116, 37,676.16 and 6,648

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Solution

The fourth proportional to 25,116, 37,676.16 and 6,648 is: 9,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,116 : 37,676.16 = 6,648 : x
  2. Step 2: Convert to fraction form
    25,116/37,676.16 = 6,648/x
  3. Step 3: Cross multiply
    25,116x = 37,676.16 × 6,648
  4. Step 4: Simplify right side
    25,116x = 250,471,111.68
  5. Step 5: Solve for x
    x = 250,471,111.68/25,116
  6. Step 6: Final answer
    x = 9,972.57

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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.