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Finding the Fourth Proportional to 11,663.88, 16,096.06 and 6,358.60

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Solution

The fourth proportional to 11,663.88, 16,096.06 and 6,358.60 is: 8,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.88 : 16,096.06 = 6,358.60 : x
  2. Step 2: Convert to fraction form
    11,663.88/16,096.06 = 6,358.60/x
  3. Step 3: Cross multiply
    11,663.88x = 16,096.06 × 6,358.60
  4. Step 4: Simplify right side
    11,663.88x = 102,348,407.12
  5. Step 5: Solve for x
    x = 102,348,407.12/11,663.88
  6. Step 6: Final answer
    x = 8,774.82

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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.