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Finding the Fourth Proportional to 6,166.42, 8,509.89 and 3,513.76

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Solution

The fourth proportional to 6,166.42, 8,509.89 and 3,513.76 is: 4,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.42 : 8,509.89 = 3,513.76 : x
  2. Step 2: Convert to fraction form
    6,166.42/8,509.89 = 3,513.76/x
  3. Step 3: Cross multiply
    6,166.42x = 8,509.89 × 3,513.76
  4. Step 4: Simplify right side
    6,166.42x = 29,901,711.09
  5. Step 5: Solve for x
    x = 29,901,711.09/6,166.42
  6. Step 6: Final answer
    x = 4,849.12

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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.