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Finding the Fourth Proportional to 8,383.54, 11,572.83 and 5,658.66

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Solution

The fourth proportional to 8,383.54, 11,572.83 and 5,658.66 is: 7,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.54 : 11,572.83 = 5,658.66 : x
  2. Step 2: Convert to fraction form
    8,383.54/11,572.83 = 5,658.66/x
  3. Step 3: Cross multiply
    8,383.54x = 11,572.83 × 5,658.66
  4. Step 4: Simplify right side
    8,383.54x = 65,486,681.91
  5. Step 5: Solve for x
    x = 65,486,681.91/8,383.54
  6. Step 6: Final answer
    x = 7,811.34

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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.