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Finding the Fourth Proportional to 9,030, 13,532.70 and 5,083.14

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Solution

The fourth proportional to 9,030, 13,532.70 and 5,083.14 is: 7,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030 : 13,532.70 = 5,083.14 : x
  2. Step 2: Convert to fraction form
    9,030/13,532.70 = 5,083.14/x
  3. Step 3: Cross multiply
    9,030x = 13,532.70 × 5,083.14
  4. Step 4: Simplify right side
    9,030x = 68,788,608.68
  5. Step 5: Solve for x
    x = 68,788,608.68/9,030
  6. Step 6: Final answer
    x = 7,617.79

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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.