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Finding the Fourth Proportional to 8,493.77, 11,722.14 and 4,958.12

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Solution

The fourth proportional to 8,493.77, 11,722.14 and 4,958.12 is: 6,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.77 : 11,722.14 = 4,958.12 : x
  2. Step 2: Convert to fraction form
    8,493.77/11,722.14 = 4,958.12/x
  3. Step 3: Cross multiply
    8,493.77x = 11,722.14 × 4,958.12
  4. Step 4: Simplify right side
    8,493.77x = 58,119,776.78
  5. Step 5: Solve for x
    x = 58,119,776.78/8,493.77
  6. Step 6: Final answer
    x = 6,842.64

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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.