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Finding the Fourth Proportional to 6,467.58, 9,701.02 and 1,787.62

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Solution

The fourth proportional to 6,467.58, 9,701.02 and 1,787.62 is: 2,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.58 : 9,701.02 = 1,787.62 : x
  2. Step 2: Convert to fraction form
    6,467.58/9,701.02 = 1,787.62/x
  3. Step 3: Cross multiply
    6,467.58x = 9,701.02 × 1,787.62
  4. Step 4: Simplify right side
    6,467.58x = 17,341,723.49
  5. Step 5: Solve for x
    x = 17,341,723.49/6,467.58
  6. Step 6: Final answer
    x = 2,681.33

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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.