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Finding the Fourth Proportional to 8,354.21, 11,521.64 and 5,959.61

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Solution

The fourth proportional to 8,354.21, 11,521.64 and 5,959.61 is: 8,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.21 : 11,521.64 = 5,959.61 : x
  2. Step 2: Convert to fraction form
    8,354.21/11,521.64 = 5,959.61/x
  3. Step 3: Cross multiply
    8,354.21x = 11,521.64 × 5,959.61
  4. Step 4: Simplify right side
    8,354.21x = 68,664,393.55
  5. Step 5: Solve for x
    x = 68,664,393.55/8,354.21
  6. Step 6: Final answer
    x = 8,219.14

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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.