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Finding the Fourth Proportional to 10,658.50, 14,708.73 and 5,943.09

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Solution

The fourth proportional to 10,658.50, 14,708.73 and 5,943.09 is: 8,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.50 : 14,708.73 = 5,943.09 : x
  2. Step 2: Convert to fraction form
    10,658.50/14,708.73 = 5,943.09/x
  3. Step 3: Cross multiply
    10,658.50x = 14,708.73 × 5,943.09
  4. Step 4: Simplify right side
    10,658.50x = 87,415,306.18
  5. Step 5: Solve for x
    x = 87,415,306.18/10,658.50
  6. Step 6: Final answer
    x = 8,201.46

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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.