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Finding the Fourth Proportional to 11,708.86, 17,536.92 and 8,214.43

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Solution

The fourth proportional to 11,708.86, 17,536.92 and 8,214.43 is: 12,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.86 : 17,536.92 = 8,214.43 : x
  2. Step 2: Convert to fraction form
    11,708.86/17,536.92 = 8,214.43/x
  3. Step 3: Cross multiply
    11,708.86x = 17,536.92 × 8,214.43
  4. Step 4: Simplify right side
    11,708.86x = 144,055,801.76
  5. Step 5: Solve for x
    x = 144,055,801.76/11,708.86
  6. Step 6: Final answer
    x = 12,303.14

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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.