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Finding the Fourth Proportional to 9,214.56, 12,728.34 and 8,033.58

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Solution

The fourth proportional to 9,214.56, 12,728.34 and 8,033.58 is: 11,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.56 : 12,728.34 = 8,033.58 : x
  2. Step 2: Convert to fraction form
    9,214.56/12,728.34 = 8,033.58/x
  3. Step 3: Cross multiply
    9,214.56x = 12,728.34 × 8,033.58
  4. Step 4: Simplify right side
    9,214.56x = 102,254,137.66
  5. Step 5: Solve for x
    x = 102,254,137.66/9,214.56
  6. Step 6: Final answer
    x = 11,097.02

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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.