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Finding the Fourth Proportional to 8,549.50, 12,824.26 and 2,393.50

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Solution

The fourth proportional to 8,549.50, 12,824.26 and 2,393.50 is: 3,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.50 : 12,824.26 = 2,393.50 : x
  2. Step 2: Convert to fraction form
    8,549.50/12,824.26 = 2,393.50/x
  3. Step 3: Cross multiply
    8,549.50x = 12,824.26 × 2,393.50
  4. Step 4: Simplify right side
    8,549.50x = 30,694,866.31
  5. Step 5: Solve for x
    x = 30,694,866.31/8,549.50
  6. Step 6: Final answer
    x = 3,590.25

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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.