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Finding the Fourth Proportional to 6,167.88, 8,509.32 and 3,775.68

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Solution

The fourth proportional to 6,167.88, 8,509.32 and 3,775.68 is: 5,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.88 : 8,509.32 = 3,775.68 : x
  2. Step 2: Convert to fraction form
    6,167.88/8,509.32 = 3,775.68/x
  3. Step 3: Cross multiply
    6,167.88x = 8,509.32 × 3,775.68
  4. Step 4: Simplify right side
    6,167.88x = 32,128,469.34
  5. Step 5: Solve for x
    x = 32,128,469.34/6,167.88
  6. Step 6: Final answer
    x = 5,209.00

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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.