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Finding the Fourth Proportional to 9,955.44, 13,714.66 and 8,534.64

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Solution

The fourth proportional to 9,955.44, 13,714.66 and 8,534.64 is: 11,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.44 : 13,714.66 = 8,534.64 : x
  2. Step 2: Convert to fraction form
    9,955.44/13,714.66 = 8,534.64/x
  3. Step 3: Cross multiply
    9,955.44x = 13,714.66 × 8,534.64
  4. Step 4: Simplify right side
    9,955.44x = 117,049,685.82
  5. Step 5: Solve for x
    x = 117,049,685.82/9,955.44
  6. Step 6: Final answer
    x = 11,757.36

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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.