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Finding the Fourth Proportional to 8,402.54, 11,594.54 and 4,865.09

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Solution

The fourth proportional to 8,402.54, 11,594.54 and 4,865.09 is: 6,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.54 : 11,594.54 = 4,865.09 : x
  2. Step 2: Convert to fraction form
    8,402.54/11,594.54 = 4,865.09/x
  3. Step 3: Cross multiply
    8,402.54x = 11,594.54 × 4,865.09
  4. Step 4: Simplify right side
    8,402.54x = 56,408,434.80
  5. Step 5: Solve for x
    x = 56,408,434.80/8,402.54
  6. Step 6: Final answer
    x = 6,713.26

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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.