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Finding the Fourth Proportional to 8,057.54, 12,086.49 and 4,587.50

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Solution

The fourth proportional to 8,057.54, 12,086.49 and 4,587.50 is: 6,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.54 : 12,086.49 = 4,587.50 : x
  2. Step 2: Convert to fraction form
    8,057.54/12,086.49 = 4,587.50/x
  3. Step 3: Cross multiply
    8,057.54x = 12,086.49 × 4,587.50
  4. Step 4: Simplify right side
    8,057.54x = 55,446,772.88
  5. Step 5: Solve for x
    x = 55,446,772.88/8,057.54
  6. Step 6: Final answer
    x = 6,881.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.