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Finding the Fourth Proportional to 6,567.66, 9,851.63 and 3,664.44

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Solution

The fourth proportional to 6,567.66, 9,851.63 and 3,664.44 is: 5,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.66 : 9,851.63 = 3,664.44 : x
  2. Step 2: Convert to fraction form
    6,567.66/9,851.63 = 3,664.44/x
  3. Step 3: Cross multiply
    6,567.66x = 9,851.63 × 3,664.44
  4. Step 4: Simplify right side
    6,567.66x = 36,100,688.72
  5. Step 5: Solve for x
    x = 36,100,688.72/6,567.66
  6. Step 6: Final answer
    x = 5,496.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.