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Finding the Fourth Proportional to 8,230.54, 11,364.37 and 8,214.13

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Solution

The fourth proportional to 8,230.54, 11,364.37 and 8,214.13 is: 11,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.54 : 11,364.37 = 8,214.13 : x
  2. Step 2: Convert to fraction form
    8,230.54/11,364.37 = 8,214.13/x
  3. Step 3: Cross multiply
    8,230.54x = 11,364.37 × 8,214.13
  4. Step 4: Simplify right side
    8,230.54x = 93,348,412.55
  5. Step 5: Solve for x
    x = 93,348,412.55/8,230.54
  6. Step 6: Final answer
    x = 11,341.71

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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.