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Finding the Fourth Proportional to 7,834.57, 11,750.02 and 3,670.63

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Solution

The fourth proportional to 7,834.57, 11,750.02 and 3,670.63 is: 5,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.57 : 11,750.02 = 3,670.63 : x
  2. Step 2: Convert to fraction form
    7,834.57/11,750.02 = 3,670.63/x
  3. Step 3: Cross multiply
    7,834.57x = 11,750.02 × 3,670.63
  4. Step 4: Simplify right side
    7,834.57x = 43,129,975.91
  5. Step 5: Solve for x
    x = 43,129,975.91/7,834.57
  6. Step 6: Final answer
    x = 5,505.09

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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.