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Finding the Fourth Proportional to 10,893.96, 15,034.02 and 6,178.44

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Solution

The fourth proportional to 10,893.96, 15,034.02 and 6,178.44 is: 8,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.96 : 15,034.02 = 6,178.44 : x
  2. Step 2: Convert to fraction form
    10,893.96/15,034.02 = 6,178.44/x
  3. Step 3: Cross multiply
    10,893.96x = 15,034.02 × 6,178.44
  4. Step 4: Simplify right side
    10,893.96x = 92,886,790.53
  5. Step 5: Solve for x
    x = 92,886,790.53/10,893.96
  6. Step 6: Final answer
    x = 8,526.45

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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.