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Finding the Fourth Proportional to 9,282.59, 12,812.44 and 5,743.80

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Solution

The fourth proportional to 9,282.59, 12,812.44 and 5,743.80 is: 7,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.59 : 12,812.44 = 5,743.80 : x
  2. Step 2: Convert to fraction form
    9,282.59/12,812.44 = 5,743.80/x
  3. Step 3: Cross multiply
    9,282.59x = 12,812.44 × 5,743.80
  4. Step 4: Simplify right side
    9,282.59x = 73,592,092.87
  5. Step 5: Solve for x
    x = 73,592,092.87/9,282.59
  6. Step 6: Final answer
    x = 7,927.97

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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.