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Finding the Fourth Proportional to 6,197.67, 8,548.90 and 3,678.01

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Solution

The fourth proportional to 6,197.67, 8,548.90 and 3,678.01 is: 5,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.67 : 8,548.90 = 3,678.01 : x
  2. Step 2: Convert to fraction form
    6,197.67/8,548.90 = 3,678.01/x
  3. Step 3: Cross multiply
    6,197.67x = 8,548.90 × 3,678.01
  4. Step 4: Simplify right side
    6,197.67x = 31,442,909.12
  5. Step 5: Solve for x
    x = 31,442,909.12/6,197.67
  6. Step 6: Final answer
    x = 5,073.34

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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.