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Finding the Fourth Proportional to 6,531.60, 9,800.10 and 3,609.12

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Solution

The fourth proportional to 6,531.60, 9,800.10 and 3,609.12 is: 5,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.60 : 9,800.10 = 3,609.12 : x
  2. Step 2: Convert to fraction form
    6,531.60/9,800.10 = 3,609.12/x
  3. Step 3: Cross multiply
    6,531.60x = 9,800.10 × 3,609.12
  4. Step 4: Simplify right side
    6,531.60x = 35,369,736.91
  5. Step 5: Solve for x
    x = 35,369,736.91/6,531.60
  6. Step 6: Final answer
    x = 5,415.17

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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.