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Finding the Fourth Proportional to 9,030.25, 13,540.50 and 4,097.20

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Solution

The fourth proportional to 9,030.25, 13,540.50 and 4,097.20 is: 6,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.25 : 13,540.50 = 4,097.20 : x
  2. Step 2: Convert to fraction form
    9,030.25/13,540.50 = 4,097.20/x
  3. Step 3: Cross multiply
    9,030.25x = 13,540.50 × 4,097.20
  4. Step 4: Simplify right side
    9,030.25x = 55,478,128.14
  5. Step 5: Solve for x
    x = 55,478,128.14/9,030.25
  6. Step 6: Final answer
    x = 6,143.59

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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.