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Finding the Fourth Proportional to 9,489.64, 13,096.20 and 6,133

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Solution

The fourth proportional to 9,489.64, 13,096.20 and 6,133 is: 8,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.64 : 13,096.20 = 6,133 : x
  2. Step 2: Convert to fraction form
    9,489.64/13,096.20 = 6,133/x
  3. Step 3: Cross multiply
    9,489.64x = 13,096.20 × 6,133
  4. Step 4: Simplify right side
    9,489.64x = 80,318,994.60
  5. Step 5: Solve for x
    x = 80,318,994.60/9,489.64
  6. Step 6: Final answer
    x = 8,463.86

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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.