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Finding the Fourth Proportional to 6,662.35, 9,197.94 and 5,924.17

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Solution

The fourth proportional to 6,662.35, 9,197.94 and 5,924.17 is: 8,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.35 : 9,197.94 = 5,924.17 : x
  2. Step 2: Convert to fraction form
    6,662.35/9,197.94 = 5,924.17/x
  3. Step 3: Cross multiply
    6,662.35x = 9,197.94 × 5,924.17
  4. Step 4: Simplify right side
    6,662.35x = 54,490,160.21
  5. Step 5: Solve for x
    x = 54,490,160.21/6,662.35
  6. Step 6: Final answer
    x = 8,178.82

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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.