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Finding the Fourth Proportional to 6,844.34, 10,217 and 6,013.97

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Solution

The fourth proportional to 6,844.34, 10,217 and 6,013.97 is: 8,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.34 : 10,217 = 6,013.97 : x
  2. Step 2: Convert to fraction form
    6,844.34/10,217 = 6,013.97/x
  3. Step 3: Cross multiply
    6,844.34x = 10,217 × 6,013.97
  4. Step 4: Simplify right side
    6,844.34x = 61,444,680.41
  5. Step 5: Solve for x
    x = 61,444,680.41/6,844.34
  6. Step 6: Final answer
    x = 8,977.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.