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Finding the Fourth Proportional to 8,581.84, 11,898.46 and 8,293.84

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Solution

The fourth proportional to 8,581.84, 11,898.46 and 8,293.84 is: 11,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.84 : 11,898.46 = 8,293.84 : x
  2. Step 2: Convert to fraction form
    8,581.84/11,898.46 = 8,293.84/x
  3. Step 3: Cross multiply
    8,581.84x = 11,898.46 × 8,293.84
  4. Step 4: Simplify right side
    8,581.84x = 98,683,923.49
  5. Step 5: Solve for x
    x = 98,683,923.49/8,581.84
  6. Step 6: Final answer
    x = 11,499.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.