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Finding the Fourth Proportional to 7,546, 10,413.48 and 4,602

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Solution

The fourth proportional to 7,546, 10,413.48 and 4,602 is: 6,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546 : 10,413.48 = 4,602 : x
  2. Step 2: Convert to fraction form
    7,546/10,413.48 = 4,602/x
  3. Step 3: Cross multiply
    7,546x = 10,413.48 × 4,602
  4. Step 4: Simplify right side
    7,546x = 47,922,834.96
  5. Step 5: Solve for x
    x = 47,922,834.96/7,546
  6. Step 6: Final answer
    x = 6,350.76

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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.