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Finding the Fourth Proportional to 6,801.84, 10,209.65 and 4,714.65

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Solution

The fourth proportional to 6,801.84, 10,209.65 and 4,714.65 is: 7,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.84 : 10,209.65 = 4,714.65 : x
  2. Step 2: Convert to fraction form
    6,801.84/10,209.65 = 4,714.65/x
  3. Step 3: Cross multiply
    6,801.84x = 10,209.65 × 4,714.65
  4. Step 4: Simplify right side
    6,801.84x = 48,134,902.80
  5. Step 5: Solve for x
    x = 48,134,902.80/6,801.84
  6. Step 6: Final answer
    x = 7,076.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.