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Finding the Fourth Proportional to 7,714.93, 11,560.25 and 5,964.22

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Solution

The fourth proportional to 7,714.93, 11,560.25 and 5,964.22 is: 8,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.93 : 11,560.25 = 5,964.22 : x
  2. Step 2: Convert to fraction form
    7,714.93/11,560.25 = 5,964.22/x
  3. Step 3: Cross multiply
    7,714.93x = 11,560.25 × 5,964.22
  4. Step 4: Simplify right side
    7,714.93x = 68,947,838.59
  5. Step 5: Solve for x
    x = 68,947,838.59/7,714.93
  6. Step 6: Final answer
    x = 8,936.94

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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.