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Finding the Fourth Proportional to 27,214.86, 40,816.08 and 7,495.14

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Solution

The fourth proportional to 27,214.86, 40,816.08 and 7,495.14 is: 11,241.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.86 : 40,816.08 = 7,495.14 : x
  2. Step 2: Convert to fraction form
    27,214.86/40,816.08 = 7,495.14/x
  3. Step 3: Cross multiply
    27,214.86x = 40,816.08 × 7,495.14
  4. Step 4: Simplify right side
    27,214.86x = 305,922,233.85
  5. Step 5: Solve for x
    x = 305,922,233.85/27,214.86
  6. Step 6: Final answer
    x = 11,241.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.