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Finding the Fourth Proportional to 9,752.56, 14,682.82 and 6,694.64

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Solution

The fourth proportional to 9,752.56, 14,682.82 and 6,694.64 is: 10,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.56 : 14,682.82 = 6,694.64 : x
  2. Step 2: Convert to fraction form
    9,752.56/14,682.82 = 6,694.64/x
  3. Step 3: Cross multiply
    9,752.56x = 14,682.82 × 6,694.64
  4. Step 4: Simplify right side
    9,752.56x = 98,296,194.08
  5. Step 5: Solve for x
    x = 98,296,194.08/9,752.56
  6. Step 6: Final answer
    x = 10,079.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.