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Finding the Fourth Proportional to 9,785.46, 13,493.24 and 7,272.24

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Solution

The fourth proportional to 9,785.46, 13,493.24 and 7,272.24 is: 10,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.46 : 13,493.24 = 7,272.24 : x
  2. Step 2: Convert to fraction form
    9,785.46/13,493.24 = 7,272.24/x
  3. Step 3: Cross multiply
    9,785.46x = 13,493.24 × 7,272.24
  4. Step 4: Simplify right side
    9,785.46x = 98,126,079.66
  5. Step 5: Solve for x
    x = 98,126,079.66/9,785.46
  6. Step 6: Final answer
    x = 10,027.74

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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.