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Finding the Fourth Proportional to 6,166, 8,509.08 and 3,371.50

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Solution

The fourth proportional to 6,166, 8,509.08 and 3,371.50 is: 4,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166 : 8,509.08 = 3,371.50 : x
  2. Step 2: Convert to fraction form
    6,166/8,509.08 = 3,371.50/x
  3. Step 3: Cross multiply
    6,166x = 8,509.08 × 3,371.50
  4. Step 4: Simplify right side
    6,166x = 28,688,363.22
  5. Step 5: Solve for x
    x = 28,688,363.22/6,166
  6. Step 6: Final answer
    x = 4,652.67

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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.