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Finding the Fourth Proportional to 9,182.67, 12,672.35 and 5,203.65

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Solution

The fourth proportional to 9,182.67, 12,672.35 and 5,203.65 is: 7,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.67 : 12,672.35 = 5,203.65 : x
  2. Step 2: Convert to fraction form
    9,182.67/12,672.35 = 5,203.65/x
  3. Step 3: Cross multiply
    9,182.67x = 12,672.35 × 5,203.65
  4. Step 4: Simplify right side
    9,182.67x = 65,942,384.70
  5. Step 5: Solve for x
    x = 65,942,384.70/9,182.67
  6. Step 6: Final answer
    x = 7,181.18

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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.