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Finding the Fourth Proportional to 6,171.99, 8,516.16 and 3,656.00

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Solution

The fourth proportional to 6,171.99, 8,516.16 and 3,656.00 is: 5,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.99 : 8,516.16 = 3,656.00 : x
  2. Step 2: Convert to fraction form
    6,171.99/8,516.16 = 3,656.00/x
  3. Step 3: Cross multiply
    6,171.99x = 8,516.16 × 3,656.00
  4. Step 4: Simplify right side
    6,171.99x = 31,135,038.38
  5. Step 5: Solve for x
    x = 31,135,038.38/6,171.99
  6. Step 6: Final answer
    x = 5,044.57

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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.