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Finding the Fourth Proportional to 6,665.76, 9,215.37 and 5,834.70

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Solution

The fourth proportional to 6,665.76, 9,215.37 and 5,834.70 is: 8,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.76 : 9,215.37 = 5,834.70 : x
  2. Step 2: Convert to fraction form
    6,665.76/9,215.37 = 5,834.70/x
  3. Step 3: Cross multiply
    6,665.76x = 9,215.37 × 5,834.70
  4. Step 4: Simplify right side
    6,665.76x = 53,768,919.34
  5. Step 5: Solve for x
    x = 53,768,919.34/6,665.76
  6. Step 6: Final answer
    x = 8,066.43

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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.