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Finding the Fourth Proportional to 14,762.34, 20,371.46 and 8,047.82

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Solution

The fourth proportional to 14,762.34, 20,371.46 and 8,047.82 is: 11,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.34 : 20,371.46 = 8,047.82 : x
  2. Step 2: Convert to fraction form
    14,762.34/20,371.46 = 8,047.82/x
  3. Step 3: Cross multiply
    14,762.34x = 20,371.46 × 8,047.82
  4. Step 4: Simplify right side
    14,762.34x = 163,945,843.22
  5. Step 5: Solve for x
    x = 163,945,843.22/14,762.34
  6. Step 6: Final answer
    x = 11,105.68

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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.