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Finding the Fourth Proportional to 5,645.35, 7,805.44 and 4,944.71

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Solution

The fourth proportional to 5,645.35, 7,805.44 and 4,944.71 is: 6,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.35 : 7,805.44 = 4,944.71 : x
  2. Step 2: Convert to fraction form
    5,645.35/7,805.44 = 4,944.71/x
  3. Step 3: Cross multiply
    5,645.35x = 7,805.44 × 4,944.71
  4. Step 4: Simplify right side
    5,645.35x = 38,595,637.22
  5. Step 5: Solve for x
    x = 38,595,637.22/5,645.35
  6. Step 6: Final answer
    x = 6,836.71

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Half scale
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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.