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Finding the Fourth Proportional to 6,404.57, 9,608.47 and 1,787.57

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Solution

The fourth proportional to 6,404.57, 9,608.47 and 1,787.57 is: 2,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.57 : 9,608.47 = 1,787.57 : x
  2. Step 2: Convert to fraction form
    6,404.57/9,608.47 = 1,787.57/x
  3. Step 3: Cross multiply
    6,404.57x = 9,608.47 × 1,787.57
  4. Step 4: Simplify right side
    6,404.57x = 17,175,755.74
  5. Step 5: Solve for x
    x = 17,175,755.74/6,404.57
  6. Step 6: Final answer
    x = 2,681.80

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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.