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Finding the Fourth Proportional to 11,613.70, 16,026.83 and 6,308.47

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Solution

The fourth proportional to 11,613.70, 16,026.83 and 6,308.47 is: 8,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.70 : 16,026.83 = 6,308.47 : x
  2. Step 2: Convert to fraction form
    11,613.70/16,026.83 = 6,308.47/x
  3. Step 3: Cross multiply
    11,613.70x = 16,026.83 × 6,308.47
  4. Step 4: Simplify right side
    11,613.70x = 101,104,720.41
  5. Step 5: Solve for x
    x = 101,104,720.41/11,613.70
  6. Step 6: Final answer
    x = 8,705.64

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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.