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Finding the Fourth Proportional to 6,317.48, 8,720.91 and 3,800.00

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Solution

The fourth proportional to 6,317.48, 8,720.91 and 3,800.00 is: 5,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.48 : 8,720.91 = 3,800.00 : x
  2. Step 2: Convert to fraction form
    6,317.48/8,720.91 = 3,800.00/x
  3. Step 3: Cross multiply
    6,317.48x = 8,720.91 × 3,800.00
  4. Step 4: Simplify right side
    6,317.48x = 33,139,414.40
  5. Step 5: Solve for x
    x = 33,139,414.40/6,317.48
  6. Step 6: Final answer
    x = 5,245.67

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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.