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Finding the Fourth Proportional to 4,965.84, 7,413.23 and 4,792.70

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Solution

The fourth proportional to 4,965.84, 7,413.23 and 4,792.70 is: 7,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.84 : 7,413.23 = 4,792.70 : x
  2. Step 2: Convert to fraction form
    4,965.84/7,413.23 = 4,792.70/x
  3. Step 3: Cross multiply
    4,965.84x = 7,413.23 × 4,792.70
  4. Step 4: Simplify right side
    4,965.84x = 35,529,326.39
  5. Step 5: Solve for x
    x = 35,529,326.39/4,965.84
  6. Step 6: Final answer
    x = 7,154.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.