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Finding the Fourth Proportional to 5,853, 8,083.68 and 4,542.60

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Solution

The fourth proportional to 5,853, 8,083.68 and 4,542.60 is: 6,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853 : 8,083.68 = 4,542.60 : x
  2. Step 2: Convert to fraction form
    5,853/8,083.68 = 4,542.60/x
  3. Step 3: Cross multiply
    5,853x = 8,083.68 × 4,542.60
  4. Step 4: Simplify right side
    5,853x = 36,720,924.77
  5. Step 5: Solve for x
    x = 36,720,924.77/5,853
  6. Step 6: Final answer
    x = 6,273.86

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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.