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Finding the Fourth Proportional to 6,537.90, 9,006.18 and 6,204.44

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Solution

The fourth proportional to 6,537.90, 9,006.18 and 6,204.44 is: 8,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.90 : 9,006.18 = 6,204.44 : x
  2. Step 2: Convert to fraction form
    6,537.90/9,006.18 = 6,204.44/x
  3. Step 3: Cross multiply
    6,537.90x = 9,006.18 × 6,204.44
  4. Step 4: Simplify right side
    6,537.90x = 55,878,303.44
  5. Step 5: Solve for x
    x = 55,878,303.44/6,537.90
  6. Step 6: Final answer
    x = 8,546.83

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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.