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Finding the Fourth Proportional to 6,709.77, 10,066.32 and 4,739.27

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Solution

The fourth proportional to 6,709.77, 10,066.32 and 4,739.27 is: 7,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.77 : 10,066.32 = 4,739.27 : x
  2. Step 2: Convert to fraction form
    6,709.77/10,066.32 = 4,739.27/x
  3. Step 3: Cross multiply
    6,709.77x = 10,066.32 × 4,739.27
  4. Step 4: Simplify right side
    6,709.77x = 47,706,958.05
  5. Step 5: Solve for x
    x = 47,706,958.05/6,709.77
  6. Step 6: Final answer
    x = 7,110.07

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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.