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Finding the Fourth Proportional to 6,628.96, 9,943.39 and 2,464.12

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Solution

The fourth proportional to 6,628.96, 9,943.39 and 2,464.12 is: 3,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.96 : 9,943.39 = 2,464.12 : x
  2. Step 2: Convert to fraction form
    6,628.96/9,943.39 = 2,464.12/x
  3. Step 3: Cross multiply
    6,628.96x = 9,943.39 × 2,464.12
  4. Step 4: Simplify right side
    6,628.96x = 24,501,706.17
  5. Step 5: Solve for x
    x = 24,501,706.17/6,628.96
  6. Step 6: Final answer
    x = 3,696.16

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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.