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Finding the Fourth Proportional to 9,792.60, 14,678.10 and 5,413.20

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Solution

The fourth proportional to 9,792.60, 14,678.10 and 5,413.20 is: 8,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.60 : 14,678.10 = 5,413.20 : x
  2. Step 2: Convert to fraction form
    9,792.60/14,678.10 = 5,413.20/x
  3. Step 3: Cross multiply
    9,792.60x = 14,678.10 × 5,413.20
  4. Step 4: Simplify right side
    9,792.60x = 79,455,490.92
  5. Step 5: Solve for x
    x = 79,455,490.92/9,792.60
  6. Step 6: Final answer
    x = 8,113.83

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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.