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Finding the Fourth Proportional to 6,858.65, 9,464.94 and 3,714.84

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Solution

The fourth proportional to 6,858.65, 9,464.94 and 3,714.84 is: 5,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.65 : 9,464.94 = 3,714.84 : x
  2. Step 2: Convert to fraction form
    6,858.65/9,464.94 = 3,714.84/x
  3. Step 3: Cross multiply
    6,858.65x = 9,464.94 × 3,714.84
  4. Step 4: Simplify right side
    6,858.65x = 35,160,737.71
  5. Step 5: Solve for x
    x = 35,160,737.71/6,858.65
  6. Step 6: Final answer
    x = 5,126.48

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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.