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Finding the Fourth Proportional to 6,275.50, 9,413.43 and 1,658.50

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Solution

The fourth proportional to 6,275.50, 9,413.43 and 1,658.50 is: 2,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.50 : 9,413.43 = 1,658.50 : x
  2. Step 2: Convert to fraction form
    6,275.50/9,413.43 = 1,658.50/x
  3. Step 3: Cross multiply
    6,275.50x = 9,413.43 × 1,658.50
  4. Step 4: Simplify right side
    6,275.50x = 15,612,173.66
  5. Step 5: Solve for x
    x = 15,612,173.66/6,275.50
  6. Step 6: Final answer
    x = 2,487.80

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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.