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Finding the Fourth Proportional to 6,567.58, 9,851.16 and 2,671.90

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Solution

The fourth proportional to 6,567.58, 9,851.16 and 2,671.90 is: 4,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.58 : 9,851.16 = 2,671.90 : x
  2. Step 2: Convert to fraction form
    6,567.58/9,851.16 = 2,671.90/x
  3. Step 3: Cross multiply
    6,567.58x = 9,851.16 × 2,671.90
  4. Step 4: Simplify right side
    6,567.58x = 26,321,314.40
  5. Step 5: Solve for x
    x = 26,321,314.40/6,567.58
  6. Step 6: Final answer
    x = 4,007.76

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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.