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Finding the Fourth Proportional to 7,546, 10,413.56 and 4,234

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Solution

The fourth proportional to 7,546, 10,413.56 and 4,234 is: 5,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546 : 10,413.56 = 4,234 : x
  2. Step 2: Convert to fraction form
    7,546/10,413.56 = 4,234/x
  3. Step 3: Cross multiply
    7,546x = 10,413.56 × 4,234
  4. Step 4: Simplify right side
    7,546x = 44,091,013.04
  5. Step 5: Solve for x
    x = 44,091,013.04/7,546
  6. Step 6: Final answer
    x = 5,842.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.