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Finding the Fourth Proportional to 4,617.87, 6,926.82 and 1,155.12

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Solution

The fourth proportional to 4,617.87, 6,926.82 and 1,155.12 is: 1,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.87 : 6,926.82 = 1,155.12 : x
  2. Step 2: Convert to fraction form
    4,617.87/6,926.82 = 1,155.12/x
  3. Step 3: Cross multiply
    4,617.87x = 6,926.82 × 1,155.12
  4. Step 4: Simplify right side
    4,617.87x = 8,001,308.32
  5. Step 5: Solve for x
    x = 8,001,308.32/4,617.87
  6. Step 6: Final answer
    x = 1,732.68

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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.