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Finding the Fourth Proportional to 7,800.96, 11,703.51 and 2,254.77

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Solution

The fourth proportional to 7,800.96, 11,703.51 and 2,254.77 is: 3,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.96 : 11,703.51 = 2,254.77 : x
  2. Step 2: Convert to fraction form
    7,800.96/11,703.51 = 2,254.77/x
  3. Step 3: Cross multiply
    7,800.96x = 11,703.51 × 2,254.77
  4. Step 4: Simplify right side
    7,800.96x = 26,388,723.24
  5. Step 5: Solve for x
    x = 26,388,723.24/7,800.96
  6. Step 6: Final answer
    x = 3,382.75

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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.