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Finding the Fourth Proportional to 5,778.13, 8,668.64 and 1,674.13

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Solution

The fourth proportional to 5,778.13, 8,668.64 and 1,674.13 is: 2,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.13 : 8,668.64 = 1,674.13 : x
  2. Step 2: Convert to fraction form
    5,778.13/8,668.64 = 1,674.13/x
  3. Step 3: Cross multiply
    5,778.13x = 8,668.64 × 1,674.13
  4. Step 4: Simplify right side
    5,778.13x = 14,512,430.28
  5. Step 5: Solve for x
    x = 14,512,430.28/5,778.13
  6. Step 6: Final answer
    x = 2,511.61

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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.