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Finding the Fourth Proportional to 4,948.76, 7,413.53 and 4,422.98

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Solution

The fourth proportional to 4,948.76, 7,413.53 and 4,422.98 is: 6,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.76 : 7,413.53 = 4,422.98 : x
  2. Step 2: Convert to fraction form
    4,948.76/7,413.53 = 4,422.98/x
  3. Step 3: Cross multiply
    4,948.76x = 7,413.53 × 4,422.98
  4. Step 4: Simplify right side
    4,948.76x = 32,789,894.92
  5. Step 5: Solve for x
    x = 32,789,894.92/4,948.76
  6. Step 6: Final answer
    x = 6,625.88

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1.5x scale

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.