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Finding the Fourth Proportional to 7,893.46, 11,825 and 4,933.06

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Solution

The fourth proportional to 7,893.46, 11,825 and 4,933.06 is: 7,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.46 : 11,825 = 4,933.06 : x
  2. Step 2: Convert to fraction form
    7,893.46/11,825 = 4,933.06/x
  3. Step 3: Cross multiply
    7,893.46x = 11,825 × 4,933.06
  4. Step 4: Simplify right side
    7,893.46x = 58,333,434.50
  5. Step 5: Solve for x
    x = 58,333,434.50/7,893.46
  6. Step 6: Final answer
    x = 7,390.10

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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.