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Finding the Fourth Proportional to 10,601, 14,628.64 and 5,885.56

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Solution

The fourth proportional to 10,601, 14,628.64 and 5,885.56 is: 8,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601 : 14,628.64 = 5,885.56 : x
  2. Step 2: Convert to fraction form
    10,601/14,628.64 = 5,885.56/x
  3. Step 3: Cross multiply
    10,601x = 14,628.64 × 5,885.56
  4. Step 4: Simplify right side
    10,601x = 86,097,738.44
  5. Step 5: Solve for x
    x = 86,097,738.44/10,601
  6. Step 6: Final answer
    x = 8,121.66

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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.