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Finding the Fourth Proportional to 7,934.70, 11,902.05 and 7,416.30

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Solution

The fourth proportional to 7,934.70, 11,902.05 and 7,416.30 is: 11,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.70 : 11,902.05 = 7,416.30 : x
  2. Step 2: Convert to fraction form
    7,934.70/11,902.05 = 7,416.30/x
  3. Step 3: Cross multiply
    7,934.70x = 11,902.05 × 7,416.30
  4. Step 4: Simplify right side
    7,934.70x = 88,269,173.42
  5. Step 5: Solve for x
    x = 88,269,173.42/7,934.70
  6. Step 6: Final answer
    x = 11,124.45

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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.