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Finding the Fourth Proportional to 5,647.74, 8,473.08 and 1,950.22

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Solution

The fourth proportional to 5,647.74, 8,473.08 and 1,950.22 is: 2,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.74 : 8,473.08 = 1,950.22 : x
  2. Step 2: Convert to fraction form
    5,647.74/8,473.08 = 1,950.22/x
  3. Step 3: Cross multiply
    5,647.74x = 8,473.08 × 1,950.22
  4. Step 4: Simplify right side
    5,647.74x = 16,524,370.08
  5. Step 5: Solve for x
    x = 16,524,370.08/5,647.74
  6. Step 6: Final answer
    x = 2,925.84

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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.