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Finding the Fourth Proportional to 7,803.74, 11,705.27 and 2,256.96

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Solution

The fourth proportional to 7,803.74, 11,705.27 and 2,256.96 is: 3,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.74 : 11,705.27 = 2,256.96 : x
  2. Step 2: Convert to fraction form
    7,803.74/11,705.27 = 2,256.96/x
  3. Step 3: Cross multiply
    7,803.74x = 11,705.27 × 2,256.96
  4. Step 4: Simplify right side
    7,803.74x = 26,418,320.54
  5. Step 5: Solve for x
    x = 26,418,320.54/7,803.74
  6. Step 6: Final answer
    x = 3,385.34

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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.