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Finding the Fourth Proportional to 6,166.36, 8,509.72 and 3,513.71

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Solution

The fourth proportional to 6,166.36, 8,509.72 and 3,513.71 is: 4,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.36 : 8,509.72 = 3,513.71 : x
  2. Step 2: Convert to fraction form
    6,166.36/8,509.72 = 3,513.71/x
  3. Step 3: Cross multiply
    6,166.36x = 8,509.72 × 3,513.71
  4. Step 4: Simplify right side
    6,166.36x = 29,900,659.47
  5. Step 5: Solve for x
    x = 29,900,659.47/6,166.36
  6. Step 6: Final answer
    x = 4,849.00

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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.