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Finding the Fourth Proportional to 10,563.15, 15,838.91 and 7,235.21

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Solution

The fourth proportional to 10,563.15, 15,838.91 and 7,235.21 is: 10,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.15 : 15,838.91 = 7,235.21 : x
  2. Step 2: Convert to fraction form
    10,563.15/15,838.91 = 7,235.21/x
  3. Step 3: Cross multiply
    10,563.15x = 15,838.91 × 7,235.21
  4. Step 4: Simplify right side
    10,563.15x = 114,597,843.44
  5. Step 5: Solve for x
    x = 114,597,843.44/10,563.15
  6. Step 6: Final answer
    x = 10,848.83

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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.