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Finding the Fourth Proportional to 11,613.63, 16,026.74 and 6,308.40

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Solution

The fourth proportional to 11,613.63, 16,026.74 and 6,308.40 is: 8,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.63 : 16,026.74 = 6,308.40 : x
  2. Step 2: Convert to fraction form
    11,613.63/16,026.74 = 6,308.40/x
  3. Step 3: Cross multiply
    11,613.63x = 16,026.74 × 6,308.40
  4. Step 4: Simplify right side
    11,613.63x = 101,103,174.32
  5. Step 5: Solve for x
    x = 101,103,174.32/11,613.63
  6. Step 6: Final answer
    x = 8,705.56

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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.