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Finding the Fourth Proportional to 9,471.96, 14,212.02 and 3,929.34

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Solution

The fourth proportional to 9,471.96, 14,212.02 and 3,929.34 is: 5,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.96 : 14,212.02 = 3,929.34 : x
  2. Step 2: Convert to fraction form
    9,471.96/14,212.02 = 3,929.34/x
  3. Step 3: Cross multiply
    9,471.96x = 14,212.02 × 3,929.34
  4. Step 4: Simplify right side
    9,471.96x = 55,843,858.67
  5. Step 5: Solve for x
    x = 55,843,858.67/9,471.96
  6. Step 6: Final answer
    x = 5,895.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.