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Finding the Fourth Proportional to 7,646.88, 11,465.76 and 2,647.62

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Solution

The fourth proportional to 7,646.88, 11,465.76 and 2,647.62 is: 3,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.88 : 11,465.76 = 2,647.62 : x
  2. Step 2: Convert to fraction form
    7,646.88/11,465.76 = 2,647.62/x
  3. Step 3: Cross multiply
    7,646.88x = 11,465.76 × 2,647.62
  4. Step 4: Simplify right side
    7,646.88x = 30,356,975.49
  5. Step 5: Solve for x
    x = 30,356,975.49/7,646.88
  6. Step 6: Final answer
    x = 3,969.85

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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.