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Finding the Fourth Proportional to 9,074.82, 13,617.50 and 3,532

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Solution

The fourth proportional to 9,074.82, 13,617.50 and 3,532 is: 5,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.82 : 13,617.50 = 3,532 : x
  2. Step 2: Convert to fraction form
    9,074.82/13,617.50 = 3,532/x
  3. Step 3: Cross multiply
    9,074.82x = 13,617.50 × 3,532
  4. Step 4: Simplify right side
    9,074.82x = 48,097,010
  5. Step 5: Solve for x
    x = 48,097,010/9,074.82
  6. Step 6: Final answer
    x = 5,300.05

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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.