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Finding the Fourth Proportional to 10,893.69, 15,033.20 and 6,178.01

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Solution

The fourth proportional to 10,893.69, 15,033.20 and 6,178.01 is: 8,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.69 : 15,033.20 = 6,178.01 : x
  2. Step 2: Convert to fraction form
    10,893.69/15,033.20 = 6,178.01/x
  3. Step 3: Cross multiply
    10,893.69x = 15,033.20 × 6,178.01
  4. Step 4: Simplify right side
    10,893.69x = 92,875,153.88
  5. Step 5: Solve for x
    x = 92,875,153.88/10,893.69
  6. Step 6: Final answer
    x = 8,525.59

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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.