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Finding the Fourth Proportional to 9,912.40, 14,868.60 and 6,413.20

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Solution

The fourth proportional to 9,912.40, 14,868.60 and 6,413.20 is: 9,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.40 : 14,868.60 = 6,413.20 : x
  2. Step 2: Convert to fraction form
    9,912.40/14,868.60 = 6,413.20/x
  3. Step 3: Cross multiply
    9,912.40x = 14,868.60 × 6,413.20
  4. Step 4: Simplify right side
    9,912.40x = 95,355,305.52
  5. Step 5: Solve for x
    x = 95,355,305.52/9,912.40
  6. Step 6: Final answer
    x = 9,619.80

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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.