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Finding the Fourth Proportional to 14,582.28, 20,123.52 and 7,958.28

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Solution

The fourth proportional to 14,582.28, 20,123.52 and 7,958.28 is: 10,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.28 : 20,123.52 = 7,958.28 : x
  2. Step 2: Convert to fraction form
    14,582.28/20,123.52 = 7,958.28/x
  3. Step 3: Cross multiply
    14,582.28x = 20,123.52 × 7,958.28
  4. Step 4: Simplify right side
    14,582.28x = 160,148,606.75
  5. Step 5: Solve for x
    x = 160,148,606.75/14,582.28
  6. Step 6: Final answer
    x = 10,982.41

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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.