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Finding the Fourth Proportional to 9,741.56, 13,415.04 and 8,464.84

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Solution

The fourth proportional to 9,741.56, 13,415.04 and 8,464.84 is: 11,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.56 : 13,415.04 = 8,464.84 : x
  2. Step 2: Convert to fraction form
    9,741.56/13,415.04 = 8,464.84/x
  3. Step 3: Cross multiply
    9,741.56x = 13,415.04 × 8,464.84
  4. Step 4: Simplify right side
    9,741.56x = 113,556,167.19
  5. Step 5: Solve for x
    x = 113,556,167.19/9,741.56
  6. Step 6: Final answer
    x = 11,656.88

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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.