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Finding the Fourth Proportional to 6,844.02, 9,444.09 and 4,156.71

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Solution

The fourth proportional to 6,844.02, 9,444.09 and 4,156.71 is: 5,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.02 : 9,444.09 = 4,156.71 : x
  2. Step 2: Convert to fraction form
    6,844.02/9,444.09 = 4,156.71/x
  3. Step 3: Cross multiply
    6,844.02x = 9,444.09 × 4,156.71
  4. Step 4: Simplify right side
    6,844.02x = 39,256,376.64
  5. Step 5: Solve for x
    x = 39,256,376.64/6,844.02
  6. Step 6: Final answer
    x = 5,735.86

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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.