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Finding the Fourth Proportional to 6,374.97, 8,763.44 and 5,695.65

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Solution

The fourth proportional to 6,374.97, 8,763.44 and 5,695.65 is: 7,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.97 : 8,763.44 = 5,695.65 : x
  2. Step 2: Convert to fraction form
    6,374.97/8,763.44 = 5,695.65/x
  3. Step 3: Cross multiply
    6,374.97x = 8,763.44 × 5,695.65
  4. Step 4: Simplify right side
    6,374.97x = 49,913,458.56
  5. Step 5: Solve for x
    x = 49,913,458.56/6,374.97
  6. Step 6: Final answer
    x = 7,829.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.