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Finding the Fourth Proportional to 4,949.60, 7,413.60 and 4,301.60

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Solution

The fourth proportional to 4,949.60, 7,413.60 and 4,301.60 is: 6,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.60 : 7,413.60 = 4,301.60 : x
  2. Step 2: Convert to fraction form
    4,949.60/7,413.60 = 4,301.60/x
  3. Step 3: Cross multiply
    4,949.60x = 7,413.60 × 4,301.60
  4. Step 4: Simplify right side
    4,949.60x = 31,890,341.76
  5. Step 5: Solve for x
    x = 31,890,341.76/4,949.60
  6. Step 6: Final answer
    x = 6,443.01

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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.