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Finding the Fourth Proportional to 9,678.95, 14,524.89 and 3,522.95

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Solution

The fourth proportional to 9,678.95, 14,524.89 and 3,522.95 is: 5,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.95 : 14,524.89 = 3,522.95 : x
  2. Step 2: Convert to fraction form
    9,678.95/14,524.89 = 3,522.95/x
  3. Step 3: Cross multiply
    9,678.95x = 14,524.89 × 3,522.95
  4. Step 4: Simplify right side
    9,678.95x = 51,170,388.60
  5. Step 5: Solve for x
    x = 51,170,388.60/9,678.95
  6. Step 6: Final answer
    x = 5,286.77

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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.