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Finding the Fourth Proportional to 9,489.75, 13,096.04 and 6,308.47

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Solution

The fourth proportional to 9,489.75, 13,096.04 and 6,308.47 is: 8,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.75 : 13,096.04 = 6,308.47 : x
  2. Step 2: Convert to fraction form
    9,489.75/13,096.04 = 6,308.47/x
  3. Step 3: Cross multiply
    9,489.75x = 13,096.04 × 6,308.47
  4. Step 4: Simplify right side
    9,489.75x = 82,615,975.46
  5. Step 5: Solve for x
    x = 82,615,975.46/9,489.75
  6. Step 6: Final answer
    x = 8,705.81

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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.