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Finding the Fourth Proportional to 9,519.76, 14,249.65 and 8,516.77

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Solution

The fourth proportional to 9,519.76, 14,249.65 and 8,516.77 is: 12,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.76 : 14,249.65 = 8,516.77 : x
  2. Step 2: Convert to fraction form
    9,519.76/14,249.65 = 8,516.77/x
  3. Step 3: Cross multiply
    9,519.76x = 14,249.65 × 8,516.77
  4. Step 4: Simplify right side
    9,519.76x = 121,360,991.63
  5. Step 5: Solve for x
    x = 121,360,991.63/9,519.76
  6. Step 6: Final answer
    x = 12,748.32

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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.