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Finding the Fourth Proportional to 3,413.96, 5,121.06 and 948.96

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Solution

The fourth proportional to 3,413.96, 5,121.06 and 948.96 is: 1,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.96 : 5,121.06 = 948.96 : x
  2. Step 2: Convert to fraction form
    3,413.96/5,121.06 = 948.96/x
  3. Step 3: Cross multiply
    3,413.96x = 5,121.06 × 948.96
  4. Step 4: Simplify right side
    3,413.96x = 4,859,681.10
  5. Step 5: Solve for x
    x = 4,859,681.10/3,413.96
  6. Step 6: Final answer
    x = 1,423.47

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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.