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Finding the Fourth Proportional to 7,858.81, 10,832.56 and 5,964.22

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Solution

The fourth proportional to 7,858.81, 10,832.56 and 5,964.22 is: 8,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.81 : 10,832.56 = 5,964.22 : x
  2. Step 2: Convert to fraction form
    7,858.81/10,832.56 = 5,964.22/x
  3. Step 3: Cross multiply
    7,858.81x = 10,832.56 × 5,964.22
  4. Step 4: Simplify right side
    7,858.81x = 64,607,771.00
  5. Step 5: Solve for x
    x = 64,607,771.00/7,858.81
  6. Step 6: Final answer
    x = 8,221.06

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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.