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Finding the Fourth Proportional to 10,658.70, 14,708.70 and 5,942.88

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Solution

The fourth proportional to 10,658.70, 14,708.70 and 5,942.88 is: 8,201.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.70 : 14,708.70 = 5,942.88 : x
  2. Step 2: Convert to fraction form
    10,658.70/14,708.70 = 5,942.88/x
  3. Step 3: Cross multiply
    10,658.70x = 14,708.70 × 5,942.88
  4. Step 4: Simplify right side
    10,658.70x = 87,412,039.06
  5. Step 5: Solve for x
    x = 87,412,039.06/10,658.70
  6. Step 6: Final answer
    x = 8,201.00

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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.