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Finding the Fourth Proportional to 8,573.64, 11,824.02 and 5,782.92

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Solution

The fourth proportional to 8,573.64, 11,824.02 and 5,782.92 is: 7,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.64 : 11,824.02 = 5,782.92 : x
  2. Step 2: Convert to fraction form
    8,573.64/11,824.02 = 5,782.92/x
  3. Step 3: Cross multiply
    8,573.64x = 11,824.02 × 5,782.92
  4. Step 4: Simplify right side
    8,573.64x = 68,377,361.74
  5. Step 5: Solve for x
    x = 68,377,361.74/8,573.64
  6. Step 6: Final answer
    x = 7,975.30

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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.