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Finding the Fourth Proportional to 11,659.34, 16,089.91 and 6,354.32

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Solution

The fourth proportional to 11,659.34, 16,089.91 and 6,354.32 is: 8,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.34 : 16,089.91 = 6,354.32 : x
  2. Step 2: Convert to fraction form
    11,659.34/16,089.91 = 6,354.32/x
  3. Step 3: Cross multiply
    11,659.34x = 16,089.91 × 6,354.32
  4. Step 4: Simplify right side
    11,659.34x = 102,240,340.58
  5. Step 5: Solve for x
    x = 102,240,340.58/11,659.34
  6. Step 6: Final answer
    x = 8,768.96

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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.