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Finding the Fourth Proportional to 10,019.26, 15,030.26 and 4,174.50

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Solution

The fourth proportional to 10,019.26, 15,030.26 and 4,174.50 is: 6,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.26 : 15,030.26 = 4,174.50 : x
  2. Step 2: Convert to fraction form
    10,019.26/15,030.26 = 4,174.50/x
  3. Step 3: Cross multiply
    10,019.26x = 15,030.26 × 4,174.50
  4. Step 4: Simplify right side
    10,019.26x = 62,743,799.50
  5. Step 5: Solve for x
    x = 62,743,799.50/10,019.26
  6. Step 6: Final answer
    x = 6,262.32

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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.