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Finding the Fourth Proportional to 11,670.88, 16,105.88 and 6,365.76

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Solution

The fourth proportional to 11,670.88, 16,105.88 and 6,365.76 is: 8,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.88 : 16,105.88 = 6,365.76 : x
  2. Step 2: Convert to fraction form
    11,670.88/16,105.88 = 6,365.76/x
  3. Step 3: Cross multiply
    11,670.88x = 16,105.88 × 6,365.76
  4. Step 4: Simplify right side
    11,670.88x = 102,526,166.67
  5. Step 5: Solve for x
    x = 102,526,166.67/11,670.88
  6. Step 6: Final answer
    x = 8,784.78

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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.