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Finding the Fourth Proportional to 9,979.74, 13,772.43 and 6,002.64

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Solution

The fourth proportional to 9,979.74, 13,772.43 and 6,002.64 is: 8,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.74 : 13,772.43 = 6,002.64 : x
  2. Step 2: Convert to fraction form
    9,979.74/13,772.43 = 6,002.64/x
  3. Step 3: Cross multiply
    9,979.74x = 13,772.43 × 6,002.64
  4. Step 4: Simplify right side
    9,979.74x = 82,670,939.22
  5. Step 5: Solve for x
    x = 82,670,939.22/9,979.74
  6. Step 6: Final answer
    x = 8,283.88

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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.