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Finding the Fourth Proportional to 11,570.26, 17,364.30 and 6,025

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Solution

The fourth proportional to 11,570.26, 17,364.30 and 6,025 is: 9,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.26 : 17,364.30 = 6,025 : x
  2. Step 2: Convert to fraction form
    11,570.26/17,364.30 = 6,025/x
  3. Step 3: Cross multiply
    11,570.26x = 17,364.30 × 6,025
  4. Step 4: Simplify right side
    11,570.26x = 104,619,907.50
  5. Step 5: Solve for x
    x = 104,619,907.50/11,570.26
  6. Step 6: Final answer
    x = 9,042.14

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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.