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Finding the Fourth Proportional to 9,692, 14,543.25 and 7,505

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Solution

The fourth proportional to 9,692, 14,543.25 and 7,505 is: 11,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692 : 14,543.25 = 7,505 : x
  2. Step 2: Convert to fraction form
    9,692/14,543.25 = 7,505/x
  3. Step 3: Cross multiply
    9,692x = 14,543.25 × 7,505
  4. Step 4: Simplify right side
    9,692x = 109,147,091.25
  5. Step 5: Solve for x
    x = 109,147,091.25/9,692
  6. Step 6: Final answer
    x = 11,261.57

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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.