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Finding the Fourth Proportional to 14,600.63, 20,148.89 and 8,313

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Solution

The fourth proportional to 14,600.63, 20,148.89 and 8,313 is: 11,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.63 : 20,148.89 = 8,313 : x
  2. Step 2: Convert to fraction form
    14,600.63/20,148.89 = 8,313/x
  3. Step 3: Cross multiply
    14,600.63x = 20,148.89 × 8,313
  4. Step 4: Simplify right side
    14,600.63x = 167,497,722.57
  5. Step 5: Solve for x
    x = 167,497,722.57/14,600.63
  6. Step 6: Final answer
    x = 11,471.95

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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.