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Finding the Fourth Proportional to 6,988.50, 9,644.16 and 3,844.74

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Solution

The fourth proportional to 6,988.50, 9,644.16 and 3,844.74 is: 5,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.50 : 9,644.16 = 3,844.74 : x
  2. Step 2: Convert to fraction form
    6,988.50/9,644.16 = 3,844.74/x
  3. Step 3: Cross multiply
    6,988.50x = 9,644.16 × 3,844.74
  4. Step 4: Simplify right side
    6,988.50x = 37,079,287.72
  5. Step 5: Solve for x
    x = 37,079,287.72/6,988.50
  6. Step 6: Final answer
    x = 5,305.76

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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.