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Finding the Fourth Proportional to 7,894.09, 10,893.79 and 4,357.30

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Solution

The fourth proportional to 7,894.09, 10,893.79 and 4,357.30 is: 6,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.09 : 10,893.79 = 4,357.30 : x
  2. Step 2: Convert to fraction form
    7,894.09/10,893.79 = 4,357.30/x
  3. Step 3: Cross multiply
    7,894.09x = 10,893.79 × 4,357.30
  4. Step 4: Simplify right side
    7,894.09x = 47,467,511.17
  5. Step 5: Solve for x
    x = 47,467,511.17/7,894.09
  6. Step 6: Final answer
    x = 6,013.04

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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.