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Finding the Fourth Proportional to 10,534.44, 15,802.50 and 3,609

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Solution

The fourth proportional to 10,534.44, 15,802.50 and 3,609 is: 5,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.44 : 15,802.50 = 3,609 : x
  2. Step 2: Convert to fraction form
    10,534.44/15,802.50 = 3,609/x
  3. Step 3: Cross multiply
    10,534.44x = 15,802.50 × 3,609
  4. Step 4: Simplify right side
    10,534.44x = 57,031,222.50
  5. Step 5: Solve for x
    x = 57,031,222.50/10,534.44
  6. Step 6: Final answer
    x = 5,413.79

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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.