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Finding the Fourth Proportional to 6,265.84, 9,400.02 and 3,486.54

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Solution

The fourth proportional to 6,265.84, 9,400.02 and 3,486.54 is: 5,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.84 : 9,400.02 = 3,486.54 : x
  2. Step 2: Convert to fraction form
    6,265.84/9,400.02 = 3,486.54/x
  3. Step 3: Cross multiply
    6,265.84x = 9,400.02 × 3,486.54
  4. Step 4: Simplify right side
    6,265.84x = 32,773,545.73
  5. Step 5: Solve for x
    x = 32,773,545.73/6,265.84
  6. Step 6: Final answer
    x = 5,230.51

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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.