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Finding the Fourth Proportional to 6,893.11, 9,506.73 and 5,101.12

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Solution

The fourth proportional to 6,893.11, 9,506.73 and 5,101.12 is: 7,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.11 : 9,506.73 = 5,101.12 : x
  2. Step 2: Convert to fraction form
    6,893.11/9,506.73 = 5,101.12/x
  3. Step 3: Cross multiply
    6,893.11x = 9,506.73 × 5,101.12
  4. Step 4: Simplify right side
    6,893.11x = 48,494,970.54
  5. Step 5: Solve for x
    x = 48,494,970.54/6,893.11
  6. Step 6: Final answer
    x = 7,035.28

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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.