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Finding the Fourth Proportional to 9,651.96, 13,316.40 and 5,672.84

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Solution

The fourth proportional to 9,651.96, 13,316.40 and 5,672.84 is: 7,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.96 : 13,316.40 = 5,672.84 : x
  2. Step 2: Convert to fraction form
    9,651.96/13,316.40 = 5,672.84/x
  3. Step 3: Cross multiply
    9,651.96x = 13,316.40 × 5,672.84
  4. Step 4: Simplify right side
    9,651.96x = 75,541,739.99
  5. Step 5: Solve for x
    x = 75,541,739.99/9,651.96
  6. Step 6: Final answer
    x = 7,826.57

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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.