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Finding the Fourth Proportional to 10,672.82, 14,728.65 and 5,957.46

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Solution

The fourth proportional to 10,672.82, 14,728.65 and 5,957.46 is: 8,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.82 : 14,728.65 = 5,957.46 : x
  2. Step 2: Convert to fraction form
    10,672.82/14,728.65 = 5,957.46/x
  3. Step 3: Cross multiply
    10,672.82x = 14,728.65 × 5,957.46
  4. Step 4: Simplify right side
    10,672.82x = 87,745,343.23
  5. Step 5: Solve for x
    x = 87,745,343.23/10,672.82
  6. Step 6: Final answer
    x = 8,221.38

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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.