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Finding the Fourth Proportional to 7,777.00, 10,723.53 and 6,356.27

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Solution

The fourth proportional to 7,777.00, 10,723.53 and 6,356.27 is: 8,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.00 : 10,723.53 = 6,356.27 : x
  2. Step 2: Convert to fraction form
    7,777.00/10,723.53 = 6,356.27/x
  3. Step 3: Cross multiply
    7,777.00x = 10,723.53 × 6,356.27
  4. Step 4: Simplify right side
    7,777.00x = 68,161,715.88
  5. Step 5: Solve for x
    x = 68,161,715.88/7,777.00
  6. Step 6: Final answer
    x = 8,764.53

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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.