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Finding the Fourth Proportional to 6,357.73, 8,767.48 and 4,200.36

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Solution

The fourth proportional to 6,357.73, 8,767.48 and 4,200.36 is: 5,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.73 : 8,767.48 = 4,200.36 : x
  2. Step 2: Convert to fraction form
    6,357.73/8,767.48 = 4,200.36/x
  3. Step 3: Cross multiply
    6,357.73x = 8,767.48 × 4,200.36
  4. Step 4: Simplify right side
    6,357.73x = 36,826,551.29
  5. Step 5: Solve for x
    x = 36,826,551.29/6,357.73
  6. Step 6: Final answer
    x = 5,792.41

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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.