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Finding the Fourth Proportional to 6,411.30, 9,619.22 and 2,902.06

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Solution

The fourth proportional to 6,411.30, 9,619.22 and 2,902.06 is: 4,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.30 : 9,619.22 = 2,902.06 : x
  2. Step 2: Convert to fraction form
    6,411.30/9,619.22 = 2,902.06/x
  3. Step 3: Cross multiply
    6,411.30x = 9,619.22 × 2,902.06
  4. Step 4: Simplify right side
    6,411.30x = 27,915,553.59
  5. Step 5: Solve for x
    x = 27,915,553.59/6,411.30
  6. Step 6: Final answer
    x = 4,354.12

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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.