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Finding the Fourth Proportional to 5,414.50, 8,124.99 and 4,973.86

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Solution

The fourth proportional to 5,414.50, 8,124.99 and 4,973.86 is: 7,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.50 : 8,124.99 = 4,973.86 : x
  2. Step 2: Convert to fraction form
    5,414.50/8,124.99 = 4,973.86/x
  3. Step 3: Cross multiply
    5,414.50x = 8,124.99 × 4,973.86
  4. Step 4: Simplify right side
    5,414.50x = 40,412,582.24
  5. Step 5: Solve for x
    x = 40,412,582.24/5,414.50
  6. Step 6: Final answer
    x = 7,463.77

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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.