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Finding the Fourth Proportional to 9,343.90, 14,015.82 and 6,413.32

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Solution

The fourth proportional to 9,343.90, 14,015.82 and 6,413.32 is: 9,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.90 : 14,015.82 = 6,413.32 : x
  2. Step 2: Convert to fraction form
    9,343.90/14,015.82 = 6,413.32/x
  3. Step 3: Cross multiply
    9,343.90x = 14,015.82 × 6,413.32
  4. Step 4: Simplify right side
    9,343.90x = 89,887,938.72
  5. Step 5: Solve for x
    x = 89,887,938.72/9,343.90
  6. Step 6: Final answer
    x = 9,619.96

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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.