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Finding the Fourth Proportional to 7,756.94, 11,630.97 and 5,294.73

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Solution

The fourth proportional to 7,756.94, 11,630.97 and 5,294.73 is: 7,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.94 : 11,630.97 = 5,294.73 : x
  2. Step 2: Convert to fraction form
    7,756.94/11,630.97 = 5,294.73/x
  3. Step 3: Cross multiply
    7,756.94x = 11,630.97 × 5,294.73
  4. Step 4: Simplify right side
    7,756.94x = 61,582,845.79
  5. Step 5: Solve for x
    x = 61,582,845.79/7,756.94
  6. Step 6: Final answer
    x = 7,939.07

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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.