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Finding the Fourth Proportional to 17,082, 25,625.16 and 4,770

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Solution

The fourth proportional to 17,082, 25,625.16 and 4,770 is: 7,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082 : 25,625.16 = 4,770 : x
  2. Step 2: Convert to fraction form
    17,082/25,625.16 = 4,770/x
  3. Step 3: Cross multiply
    17,082x = 25,625.16 × 4,770
  4. Step 4: Simplify right side
    17,082x = 122,232,013.20
  5. Step 5: Solve for x
    x = 122,232,013.20/17,082
  6. Step 6: Final answer
    x = 7,155.60

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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.