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Finding the Fourth Proportional to 6,522.84, 9,005.37 and 4,288.62

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Solution

The fourth proportional to 6,522.84, 9,005.37 and 4,288.62 is: 5,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.84 : 9,005.37 = 4,288.62 : x
  2. Step 2: Convert to fraction form
    6,522.84/9,005.37 = 4,288.62/x
  3. Step 3: Cross multiply
    6,522.84x = 9,005.37 × 4,288.62
  4. Step 4: Simplify right side
    6,522.84x = 38,620,609.89
  5. Step 5: Solve for x
    x = 38,620,609.89/6,522.84
  6. Step 6: Final answer
    x = 5,920.83

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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.