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Finding the Fourth Proportional to 6,988.50, 9,644.13 and 3,844.80

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Solution

The fourth proportional to 6,988.50, 9,644.13 and 3,844.80 is: 5,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.50 : 9,644.13 = 3,844.80 : x
  2. Step 2: Convert to fraction form
    6,988.50/9,644.13 = 3,844.80/x
  3. Step 3: Cross multiply
    6,988.50x = 9,644.13 × 3,844.80
  4. Step 4: Simplify right side
    6,988.50x = 37,079,751.02
  5. Step 5: Solve for x
    x = 37,079,751.02/6,988.50
  6. Step 6: Final answer
    x = 5,305.82

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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.