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Finding the Fourth Proportional to 8,549.60, 12,824.40 and 4,850.40

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Solution

The fourth proportional to 8,549.60, 12,824.40 and 4,850.40 is: 7,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.60 : 12,824.40 = 4,850.40 : x
  2. Step 2: Convert to fraction form
    8,549.60/12,824.40 = 4,850.40/x
  3. Step 3: Cross multiply
    8,549.60x = 12,824.40 × 4,850.40
  4. Step 4: Simplify right side
    8,549.60x = 62,203,469.76
  5. Step 5: Solve for x
    x = 62,203,469.76/8,549.60
  6. Step 6: Final answer
    x = 7,275.60

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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.