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Finding the Fourth Proportional to 5,648.81, 8,471.59 and 1,950.08

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Solution

The fourth proportional to 5,648.81, 8,471.59 and 1,950.08 is: 2,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.81 : 8,471.59 = 1,950.08 : x
  2. Step 2: Convert to fraction form
    5,648.81/8,471.59 = 1,950.08/x
  3. Step 3: Cross multiply
    5,648.81x = 8,471.59 × 1,950.08
  4. Step 4: Simplify right side
    5,648.81x = 16,520,230.99
  5. Step 5: Solve for x
    x = 16,520,230.99/5,648.81
  6. Step 6: Final answer
    x = 2,924.55

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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.