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Finding the Fourth Proportional to 7,833.88, 11,754.87 and 5,203.21

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Solution

The fourth proportional to 7,833.88, 11,754.87 and 5,203.21 is: 7,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.88 : 11,754.87 = 5,203.21 : x
  2. Step 2: Convert to fraction form
    7,833.88/11,754.87 = 5,203.21/x
  3. Step 3: Cross multiply
    7,833.88x = 11,754.87 × 5,203.21
  4. Step 4: Simplify right side
    7,833.88x = 61,162,972.34
  5. Step 5: Solve for x
    x = 61,162,972.34/7,833.88
  6. Step 6: Final answer
    x = 7,807.49

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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.