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Finding the Fourth Proportional to 7,732.14, 11,646.83 and 7,630.08

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Solution

The fourth proportional to 7,732.14, 11,646.83 and 7,630.08 is: 11,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.14 : 11,646.83 = 7,630.08 : x
  2. Step 2: Convert to fraction form
    7,732.14/11,646.83 = 7,630.08/x
  3. Step 3: Cross multiply
    7,732.14x = 11,646.83 × 7,630.08
  4. Step 4: Simplify right side
    7,732.14x = 88,866,206.50
  5. Step 5: Solve for x
    x = 88,866,206.50/7,732.14
  6. Step 6: Final answer
    x = 11,493.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.