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Finding the Fourth Proportional to 6,844.70, 9,444.05 and 4,155.86

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Solution

The fourth proportional to 6,844.70, 9,444.05 and 4,155.86 is: 5,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.70 : 9,444.05 = 4,155.86 : x
  2. Step 2: Convert to fraction form
    6,844.70/9,444.05 = 4,155.86/x
  3. Step 3: Cross multiply
    6,844.70x = 9,444.05 × 4,155.86
  4. Step 4: Simplify right side
    6,844.70x = 39,248,112.80
  5. Step 5: Solve for x
    x = 39,248,112.80/6,844.70
  6. Step 6: Final answer
    x = 5,734.09

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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.