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Finding the Fourth Proportional to 8,154.54, 11,230.43 and 7,416.43

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Solution

The fourth proportional to 8,154.54, 11,230.43 and 7,416.43 is: 10,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.54 : 11,230.43 = 7,416.43 : x
  2. Step 2: Convert to fraction form
    8,154.54/11,230.43 = 7,416.43/x
  3. Step 3: Cross multiply
    8,154.54x = 11,230.43 × 7,416.43
  4. Step 4: Simplify right side
    8,154.54x = 83,289,632.81
  5. Step 5: Solve for x
    x = 83,289,632.81/8,154.54
  6. Step 6: Final answer
    x = 10,213.90

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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.