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Finding the Fourth Proportional to 7,776.94, 11,629.95 and 5,803.96

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Solution

The fourth proportional to 7,776.94, 11,629.95 and 5,803.96 is: 8,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.94 : 11,629.95 = 5,803.96 : x
  2. Step 2: Convert to fraction form
    7,776.94/11,629.95 = 5,803.96/x
  3. Step 3: Cross multiply
    7,776.94x = 11,629.95 × 5,803.96
  4. Step 4: Simplify right side
    7,776.94x = 67,499,764.60
  5. Step 5: Solve for x
    x = 67,499,764.60/7,776.94
  6. Step 6: Final answer
    x = 8,679.48

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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.