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Finding the Fourth Proportional to 6,096.96, 8,413.76 and 3,444.32

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Solution

The fourth proportional to 6,096.96, 8,413.76 and 3,444.32 is: 4,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.96 : 8,413.76 = 3,444.32 : x
  2. Step 2: Convert to fraction form
    6,096.96/8,413.76 = 3,444.32/x
  3. Step 3: Cross multiply
    6,096.96x = 8,413.76 × 3,444.32
  4. Step 4: Simplify right side
    6,096.96x = 28,979,681.84
  5. Step 5: Solve for x
    x = 28,979,681.84/6,096.96
  6. Step 6: Final answer
    x = 4,753.14

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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.