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Finding the Fourth Proportional to 10,654.56, 14,703.10 and 6,178.73

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Solution

The fourth proportional to 10,654.56, 14,703.10 and 6,178.73 is: 8,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.56 : 14,703.10 = 6,178.73 : x
  2. Step 2: Convert to fraction form
    10,654.56/14,703.10 = 6,178.73/x
  3. Step 3: Cross multiply
    10,654.56x = 14,703.10 × 6,178.73
  4. Step 4: Simplify right side
    10,654.56x = 90,846,485.06
  5. Step 5: Solve for x
    x = 90,846,485.06/10,654.56
  6. Step 6: Final answer
    x = 8,526.54

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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.