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Finding the Fourth Proportional to 6,089.64, 8,403.78 and 3,849.18

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Solution

The fourth proportional to 6,089.64, 8,403.78 and 3,849.18 is: 5,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.64 : 8,403.78 = 3,849.18 : x
  2. Step 2: Convert to fraction form
    6,089.64/8,403.78 = 3,849.18/x
  3. Step 3: Cross multiply
    6,089.64x = 8,403.78 × 3,849.18
  4. Step 4: Simplify right side
    6,089.64x = 32,347,661.90
  5. Step 5: Solve for x
    x = 32,347,661.90/6,089.64
  6. Step 6: Final answer
    x = 5,311.92

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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.