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Finding the Fourth Proportional to 6,988.38, 9,644.04 and 3,844.50

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Solution

The fourth proportional to 6,988.38, 9,644.04 and 3,844.50 is: 5,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.38 : 9,644.04 = 3,844.50 : x
  2. Step 2: Convert to fraction form
    6,988.38/9,644.04 = 3,844.50/x
  3. Step 3: Cross multiply
    6,988.38x = 9,644.04 × 3,844.50
  4. Step 4: Simplify right side
    6,988.38x = 37,076,511.78
  5. Step 5: Solve for x
    x = 37,076,511.78/6,988.38
  6. Step 6: Final answer
    x = 5,305.45

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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.