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Finding the Fourth Proportional to 7,833.64, 11,797.36 and 7,133.80

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Solution

The fourth proportional to 7,833.64, 11,797.36 and 7,133.80 is: 10,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.64 : 11,797.36 = 7,133.80 : x
  2. Step 2: Convert to fraction form
    7,833.64/11,797.36 = 7,133.80/x
  3. Step 3: Cross multiply
    7,833.64x = 11,797.36 × 7,133.80
  4. Step 4: Simplify right side
    7,833.64x = 84,160,006.77
  5. Step 5: Solve for x
    x = 84,160,006.77/7,833.64
  6. Step 6: Final answer
    x = 10,743.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.