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Finding the Fourth Proportional to 9,246.42, 12,759.87 and 5,213.22

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Solution

The fourth proportional to 9,246.42, 12,759.87 and 5,213.22 is: 7,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.42 : 12,759.87 = 5,213.22 : x
  2. Step 2: Convert to fraction form
    9,246.42/12,759.87 = 5,213.22/x
  3. Step 3: Cross multiply
    9,246.42x = 12,759.87 × 5,213.22
  4. Step 4: Simplify right side
    9,246.42x = 66,520,009.48
  5. Step 5: Solve for x
    x = 66,520,009.48/9,246.42
  6. Step 6: Final answer
    x = 7,194.14

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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.