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Finding the Fourth Proportional to 6,233.56, 8,646.38 and 6,009.12

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Solution

The fourth proportional to 6,233.56, 8,646.38 and 6,009.12 is: 8,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.56 : 8,646.38 = 6,009.12 : x
  2. Step 2: Convert to fraction form
    6,233.56/8,646.38 = 6,009.12/x
  3. Step 3: Cross multiply
    6,233.56x = 8,646.38 × 6,009.12
  4. Step 4: Simplify right side
    6,233.56x = 51,957,127.47
  5. Step 5: Solve for x
    x = 51,957,127.47/6,233.56
  6. Step 6: Final answer
    x = 8,335.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.