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Finding the Fourth Proportional to 4,647.12, 6,965.46 and 2,451.12

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Solution

The fourth proportional to 4,647.12, 6,965.46 and 2,451.12 is: 3,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.12 : 6,965.46 = 2,451.12 : x
  2. Step 2: Convert to fraction form
    4,647.12/6,965.46 = 2,451.12/x
  3. Step 3: Cross multiply
    4,647.12x = 6,965.46 × 2,451.12
  4. Step 4: Simplify right side
    4,647.12x = 17,073,178.32
  5. Step 5: Solve for x
    x = 17,073,178.32/4,647.12
  6. Step 6: Final answer
    x = 3,673.93

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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.