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Finding the Fourth Proportional to 8,274.68, 11,419.12 and 4,737.82

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Solution

The fourth proportional to 8,274.68, 11,419.12 and 4,737.82 is: 6,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.68 : 11,419.12 = 4,737.82 : x
  2. Step 2: Convert to fraction form
    8,274.68/11,419.12 = 4,737.82/x
  3. Step 3: Cross multiply
    8,274.68x = 11,419.12 × 4,737.82
  4. Step 4: Simplify right side
    8,274.68x = 54,101,735.12
  5. Step 5: Solve for x
    x = 54,101,735.12/8,274.68
  6. Step 6: Final answer
    x = 6,538.23

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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.