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Finding the Fourth Proportional to 9,255.78, 12,757.95 and 7,235.64

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Solution

The fourth proportional to 9,255.78, 12,757.95 and 7,235.64 is: 9,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.78 : 12,757.95 = 7,235.64 : x
  2. Step 2: Convert to fraction form
    9,255.78/12,757.95 = 7,235.64/x
  3. Step 3: Cross multiply
    9,255.78x = 12,757.95 × 7,235.64
  4. Step 4: Simplify right side
    9,255.78x = 92,311,933.34
  5. Step 5: Solve for x
    x = 92,311,933.34/9,255.78
  6. Step 6: Final answer
    x = 9,973.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.