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Finding the Fourth Proportional to 4,155.66, 6,234.66 and 1,234.08

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Solution

The fourth proportional to 4,155.66, 6,234.66 and 1,234.08 is: 1,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.66 : 6,234.66 = 1,234.08 : x
  2. Step 2: Convert to fraction form
    4,155.66/6,234.66 = 1,234.08/x
  3. Step 3: Cross multiply
    4,155.66x = 6,234.66 × 1,234.08
  4. Step 4: Simplify right side
    4,155.66x = 7,694,069.21
  5. Step 5: Solve for x
    x = 7,694,069.21/4,155.66
  6. Step 6: Final answer
    x = 1,851.47

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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.