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Finding the Fourth Proportional to 6,089, 8,402.82 and 3,294.52

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Solution

The fourth proportional to 6,089, 8,402.82 and 3,294.52 is: 4,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089 : 8,402.82 = 3,294.52 : x
  2. Step 2: Convert to fraction form
    6,089/8,402.82 = 3,294.52/x
  3. Step 3: Cross multiply
    6,089x = 8,402.82 × 3,294.52
  4. Step 4: Simplify right side
    6,089x = 27,683,258.55
  5. Step 5: Solve for x
    x = 27,683,258.55/6,089
  6. Step 6: Final answer
    x = 4,546.44

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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.