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Finding the Fourth Proportional to 8,383.68, 11,568.22 and 4,607.00

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Solution

The fourth proportional to 8,383.68, 11,568.22 and 4,607.00 is: 6,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.68 : 11,568.22 = 4,607.00 : x
  2. Step 2: Convert to fraction form
    8,383.68/11,568.22 = 4,607.00/x
  3. Step 3: Cross multiply
    8,383.68x = 11,568.22 × 4,607.00
  4. Step 4: Simplify right side
    8,383.68x = 53,294,796.10
  5. Step 5: Solve for x
    x = 53,294,796.10/8,383.68
  6. Step 6: Final answer
    x = 6,356.97

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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.