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Finding the Fourth Proportional to 7,647.58, 11,464.58 and 2,716.57

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Solution

The fourth proportional to 7,647.58, 11,464.58 and 2,716.57 is: 4,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.58 : 11,464.58 = 2,716.57 : x
  2. Step 2: Convert to fraction form
    7,647.58/11,464.58 = 2,716.57/x
  3. Step 3: Cross multiply
    7,647.58x = 11,464.58 × 2,716.57
  4. Step 4: Simplify right side
    7,647.58x = 31,144,320.51
  5. Step 5: Solve for x
    x = 31,144,320.51/7,647.58
  6. Step 6: Final answer
    x = 4,072.44

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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.