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Finding the Fourth Proportional to 7,776.37, 11,668.65 and 4,662.62

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Solution

The fourth proportional to 7,776.37, 11,668.65 and 4,662.62 is: 6,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.37 : 11,668.65 = 4,662.62 : x
  2. Step 2: Convert to fraction form
    7,776.37/11,668.65 = 4,662.62/x
  3. Step 3: Cross multiply
    7,776.37x = 11,668.65 × 4,662.62
  4. Step 4: Simplify right side
    7,776.37x = 54,406,540.66
  5. Step 5: Solve for x
    x = 54,406,540.66/7,776.37
  6. Step 6: Final answer
    x = 6,996.40

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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.