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Finding the Fourth Proportional to 6,988.50, 9,644.13 and 3,844.62

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Solution

The fourth proportional to 6,988.50, 9,644.13 and 3,844.62 is: 5,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.50 : 9,644.13 = 3,844.62 : x
  2. Step 2: Convert to fraction form
    6,988.50/9,644.13 = 3,844.62/x
  3. Step 3: Cross multiply
    6,988.50x = 9,644.13 × 3,844.62
  4. Step 4: Simplify right side
    6,988.50x = 37,078,015.08
  5. Step 5: Solve for x
    x = 37,078,015.08/6,988.50
  6. Step 6: Final answer
    x = 5,305.58

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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.