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Finding the Fourth Proportional to 5,357.14, 8,083.25 and 5,357.14

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Solution

The fourth proportional to 5,357.14, 8,083.25 and 5,357.14 is: 8,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.14 : 8,083.25 = 5,357.14 : x
  2. Step 2: Convert to fraction form
    5,357.14/8,083.25 = 5,357.14/x
  3. Step 3: Cross multiply
    5,357.14x = 8,083.25 × 5,357.14
  4. Step 4: Simplify right side
    5,357.14x = 43,303,101.91
  5. Step 5: Solve for x
    x = 43,303,101.91/5,357.14
  6. Step 6: Final answer
    x = 8,083.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.