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Finding the Fourth Proportional to 11,770.51, 16,243.31 and 6,465.67

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Solution

The fourth proportional to 11,770.51, 16,243.31 and 6,465.67 is: 8,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.51 : 16,243.31 = 6,465.67 : x
  2. Step 2: Convert to fraction form
    11,770.51/16,243.31 = 6,465.67/x
  3. Step 3: Cross multiply
    11,770.51x = 16,243.31 × 6,465.67
  4. Step 4: Simplify right side
    11,770.51x = 105,023,882.17
  5. Step 5: Solve for x
    x = 105,023,882.17/11,770.51
  6. Step 6: Final answer
    x = 8,922.63

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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.