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Finding the Fourth Proportional to 8,362.86, 11,452.89 and 8,253.51

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Solution

The fourth proportional to 8,362.86, 11,452.89 and 8,253.51 is: 11,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.86 : 11,452.89 = 8,253.51 : x
  2. Step 2: Convert to fraction form
    8,362.86/11,452.89 = 8,253.51/x
  3. Step 3: Cross multiply
    8,362.86x = 11,452.89 × 8,253.51
  4. Step 4: Simplify right side
    8,362.86x = 94,526,542.14
  5. Step 5: Solve for x
    x = 94,526,542.14/8,362.86
  6. Step 6: Final answer
    x = 11,303.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.