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Finding the Fourth Proportional to 10,612.36, 14,640.78 and 6,413.32

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Solution

The fourth proportional to 10,612.36, 14,640.78 and 6,413.32 is: 8,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.36 : 14,640.78 = 6,413.32 : x
  2. Step 2: Convert to fraction form
    10,612.36/14,640.78 = 6,413.32/x
  3. Step 3: Cross multiply
    10,612.36x = 14,640.78 × 6,413.32
  4. Step 4: Simplify right side
    10,612.36x = 93,896,007.19
  5. Step 5: Solve for x
    x = 93,896,007.19/10,612.36
  6. Step 6: Final answer
    x = 8,847.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.