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Finding the Fourth Proportional to 17,085, 25,629.66 and 4,773

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Solution

The fourth proportional to 17,085, 25,629.66 and 4,773 is: 7,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085 : 25,629.66 = 4,773 : x
  2. Step 2: Convert to fraction form
    17,085/25,629.66 = 4,773/x
  3. Step 3: Cross multiply
    17,085x = 25,629.66 × 4,773
  4. Step 4: Simplify right side
    17,085x = 122,330,367.18
  5. Step 5: Solve for x
    x = 122,330,367.18/17,085
  6. Step 6: Final answer
    x = 7,160.10

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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.