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Finding the Fourth Proportional to 9,157.52, 13,709.25 and 6,827.76

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Solution

The fourth proportional to 9,157.52, 13,709.25 and 6,827.76 is: 10,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.52 : 13,709.25 = 6,827.76 : x
  2. Step 2: Convert to fraction form
    9,157.52/13,709.25 = 6,827.76/x
  3. Step 3: Cross multiply
    9,157.52x = 13,709.25 × 6,827.76
  4. Step 4: Simplify right side
    9,157.52x = 93,603,468.78
  5. Step 5: Solve for x
    x = 93,603,468.78/9,157.52
  6. Step 6: Final answer
    x = 10,221.48

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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.