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Finding the Fourth Proportional to 6,984.96, 9,639.39 and 3,841.14

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Solution

The fourth proportional to 6,984.96, 9,639.39 and 3,841.14 is: 5,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.96 : 9,639.39 = 3,841.14 : x
  2. Step 2: Convert to fraction form
    6,984.96/9,639.39 = 3,841.14/x
  3. Step 3: Cross multiply
    6,984.96x = 9,639.39 × 3,841.14
  4. Step 4: Simplify right side
    6,984.96x = 37,026,246.50
  5. Step 5: Solve for x
    x = 37,026,246.50/6,984.96
  6. Step 6: Final answer
    x = 5,300.85

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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.