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Finding the Fourth Proportional to 7,893.96, 10,893.49 and 4,357.14

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Solution

The fourth proportional to 7,893.96, 10,893.49 and 4,357.14 is: 6,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.96 : 10,893.49 = 4,357.14 : x
  2. Step 2: Convert to fraction form
    7,893.96/10,893.49 = 4,357.14/x
  3. Step 3: Cross multiply
    7,893.96x = 10,893.49 × 4,357.14
  4. Step 4: Simplify right side
    7,893.96x = 47,464,461.02
  5. Step 5: Solve for x
    x = 47,464,461.02/7,893.96
  6. Step 6: Final answer
    x = 6,012.76

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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.