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Finding the Fourth Proportional to 14,582.52, 20,123.84 and 7,958.52

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Solution

The fourth proportional to 14,582.52, 20,123.84 and 7,958.52 is: 10,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.52 : 20,123.84 = 7,958.52 : x
  2. Step 2: Convert to fraction form
    14,582.52/20,123.84 = 7,958.52/x
  3. Step 3: Cross multiply
    14,582.52x = 20,123.84 × 7,958.52
  4. Step 4: Simplify right side
    14,582.52x = 160,155,983.12
  5. Step 5: Solve for x
    x = 160,155,983.12/14,582.52
  6. Step 6: Final answer
    x = 10,982.74

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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.