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Finding the Fourth Proportional to 9,279.96, 13,895.02 and 7,803.73

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Solution

The fourth proportional to 9,279.96, 13,895.02 and 7,803.73 is: 11,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.96 : 13,895.02 = 7,803.73 : x
  2. Step 2: Convert to fraction form
    9,279.96/13,895.02 = 7,803.73/x
  3. Step 3: Cross multiply
    9,279.96x = 13,895.02 × 7,803.73
  4. Step 4: Simplify right side
    9,279.96x = 108,432,984.42
  5. Step 5: Solve for x
    x = 108,432,984.42/9,279.96
  6. Step 6: Final answer
    x = 11,684.64

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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.