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Finding the Fourth Proportional to 7,771.86, 10,724.67 and 4,414.41

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Solution

The fourth proportional to 7,771.86, 10,724.67 and 4,414.41 is: 6,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.86 : 10,724.67 = 4,414.41 : x
  2. Step 2: Convert to fraction form
    7,771.86/10,724.67 = 4,414.41/x
  3. Step 3: Cross multiply
    7,771.86x = 10,724.67 × 4,414.41
  4. Step 4: Simplify right side
    7,771.86x = 47,343,090.49
  5. Step 5: Solve for x
    x = 47,343,090.49/7,771.86
  6. Step 6: Final answer
    x = 6,091.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.