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Finding the Fourth Proportional to 10,893.80, 15,033.78 and 6,178.28

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Solution

The fourth proportional to 10,893.80, 15,033.78 and 6,178.28 is: 8,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.80 : 15,033.78 = 6,178.28 : x
  2. Step 2: Convert to fraction form
    10,893.80/15,033.78 = 6,178.28/x
  3. Step 3: Cross multiply
    10,893.80x = 15,033.78 × 6,178.28
  4. Step 4: Simplify right side
    10,893.80x = 92,882,902.30
  5. Step 5: Solve for x
    x = 92,882,902.30/10,893.80
  6. Step 6: Final answer
    x = 8,526.22

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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.