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Finding the Fourth Proportional to 9,174.96, 12,661.28 and 4,983.20

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Solution

The fourth proportional to 9,174.96, 12,661.28 and 4,983.20 is: 6,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.96 : 12,661.28 = 4,983.20 : x
  2. Step 2: Convert to fraction form
    9,174.96/12,661.28 = 4,983.20/x
  3. Step 3: Cross multiply
    9,174.96x = 12,661.28 × 4,983.20
  4. Step 4: Simplify right side
    9,174.96x = 63,093,690.50
  5. Step 5: Solve for x
    x = 63,093,690.50/9,174.96
  6. Step 6: Final answer
    x = 6,876.73

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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.