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Finding the Fourth Proportional to 8,383.82, 11,569.86 and 4,607.22

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Solution

The fourth proportional to 8,383.82, 11,569.86 and 4,607.22 is: 6,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.82 : 11,569.86 = 4,607.22 : x
  2. Step 2: Convert to fraction form
    8,383.82/11,569.86 = 4,607.22/x
  3. Step 3: Cross multiply
    8,383.82x = 11,569.86 × 4,607.22
  4. Step 4: Simplify right side
    8,383.82x = 53,304,890.39
  5. Step 5: Solve for x
    x = 53,304,890.39/8,383.82
  6. Step 6: Final answer
    x = 6,358.07

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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.